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Finding the Third Proportional to 2,323,294 and 5,032,643

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Solution

The third proportional to 2,323,294 and 5,032,643 is: 10,901,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323,294 : 5,032,643 = 5,032,643 : x
  2. Step 2: Convert to fraction form
    2,323,294/5,032,643 = 5,032,643/x
  3. Step 3: Cross multiply
    2,323,294x = 5,032,643 × 5,032,643
  4. Step 4: Simplify right side
    2,323,294x = 25,327,495,565,449
  5. Step 5: Solve for x
    x = 25,327,495,565,449/2,323,294
  6. Step 6: Final answer
    x = 10,901,545.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.