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Finding the Third Proportional to 2,547,440 and 4,090,542

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Solution

The third proportional to 2,547,440 and 4,090,542 is: 6,568,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547,440 : 4,090,542 = 4,090,542 : x
  2. Step 2: Convert to fraction form
    2,547,440/4,090,542 = 4,090,542/x
  3. Step 3: Cross multiply
    2,547,440x = 4,090,542 × 4,090,542
  4. Step 4: Simplify right side
    2,547,440x = 16,732,533,853,764
  5. Step 5: Solve for x
    x = 16,732,533,853,764/2,547,440
  6. Step 6: Final answer
    x = 6,568,372.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.