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Finding the Third Proportional to 1,526,137.88 and 2,429,308.13

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Solution

The third proportional to 1,526,137.88 and 2,429,308.13 is: 3,866,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,137.88 : 2,429,308.13 = 2,429,308.13 : x
  2. Step 2: Convert to fraction form
    1,526,137.88/2,429,308.13 = 2,429,308.13/x
  3. Step 3: Cross multiply
    1,526,137.88x = 2,429,308.13 × 2,429,308.13
  4. Step 4: Simplify right side
    1,526,137.88x = 5,901,537,966,191.02
  5. Step 5: Solve for x
    x = 5,901,537,966,191.02/1,526,137.88
  6. Step 6: Final answer
    x = 3,866,975.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.