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Finding the Third Proportional to 2,547,354 and 3,461,376

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Solution

The third proportional to 2,547,354 and 3,461,376 is: 4,703,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547,354 : 3,461,376 = 3,461,376 : x
  2. Step 2: Convert to fraction form
    2,547,354/3,461,376 = 3,461,376/x
  3. Step 3: Cross multiply
    2,547,354x = 3,461,376 × 3,461,376
  4. Step 4: Simplify right side
    2,547,354x = 11,981,123,813,376
  5. Step 5: Solve for x
    x = 11,981,123,813,376/2,547,354
  6. Step 6: Final answer
    x = 4,703,360.35

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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.