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Finding the Third Proportional to 1,575,338.63 and 3,455,642.25

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Solution

The third proportional to 1,575,338.63 and 3,455,642.25 is: 7,580,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,338.63 : 3,455,642.25 = 3,455,642.25 : x
  2. Step 2: Convert to fraction form
    1,575,338.63/3,455,642.25 = 3,455,642.25/x
  3. Step 3: Cross multiply
    1,575,338.63x = 3,455,642.25 × 3,455,642.25
  4. Step 4: Simplify right side
    1,575,338.63x = 11,941,463,359,985.06
  5. Step 5: Solve for x
    x = 11,941,463,359,985.06/1,575,338.63
  6. Step 6: Final answer
    x = 7,580,251.74

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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.