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Finding the Third Proportional to 2,547,657 and 3,909,937

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Solution

The third proportional to 2,547,657 and 3,909,937 is: 6,000,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547,657 : 3,909,937 = 3,909,937 : x
  2. Step 2: Convert to fraction form
    2,547,657/3,909,937 = 3,909,937/x
  3. Step 3: Cross multiply
    2,547,657x = 3,909,937 × 3,909,937
  4. Step 4: Simplify right side
    2,547,657x = 15,287,607,343,969
  5. Step 5: Solve for x
    x = 15,287,607,343,969/2,547,657
  6. Step 6: Final answer
    x = 6,000,653.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.