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Finding the Third Proportional to 460,283,055.75 and 1,009,679,256

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Solution

The third proportional to 460,283,055.75 and 1,009,679,256 is: 2,214,837,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,283,055.75 : 1,009,679,256 = 1,009,679,256 : x
  2. Step 2: Convert to fraction form
    460,283,055.75/1,009,679,256 = 1,009,679,256/x
  3. Step 3: Cross multiply
    460,283,055.75x = 1,009,679,256 × 1,009,679,256
  4. Step 4: Simplify right side
    460,283,055.75x = 1,019,452,199,996,713,472
  5. Step 5: Solve for x
    x = 1,019,452,199,996,713,472/460,283,055.75
  6. Step 6: Final answer
    x = 2,214,837,559.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.