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Finding the Third Proportional to 486,114,939 and 1,064,434,878

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Solution

The third proportional to 486,114,939 and 1,064,434,878 is: 2,330,768,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,114,939 : 1,064,434,878 = 1,064,434,878 : x
  2. Step 2: Convert to fraction form
    486,114,939/1,064,434,878 = 1,064,434,878/x
  3. Step 3: Cross multiply
    486,114,939x = 1,064,434,878 × 1,064,434,878
  4. Step 4: Simplify right side
    486,114,939x = 1,133,021,609,502,874,880
  5. Step 5: Solve for x
    x = 1,133,021,609,502,874,880/486,114,939
  6. Step 6: Final answer
    x = 2,330,768,957.30

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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.