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Finding the Third Proportional to 2,547,342 and 3,461,373

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Solution

The third proportional to 2,547,342 and 3,461,373 is: 4,703,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547,342 : 3,461,373 = 3,461,373 : x
  2. Step 2: Convert to fraction form
    2,547,342/3,461,373 = 3,461,373/x
  3. Step 3: Cross multiply
    2,547,342x = 3,461,373 × 3,461,373
  4. Step 4: Simplify right side
    2,547,342x = 11,981,103,045,129
  5. Step 5: Solve for x
    x = 11,981,103,045,129/2,547,342
  6. Step 6: Final answer
    x = 4,703,374.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.