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Finding the Third Proportional to 2,564,594 and 5,472,428

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Solution

The third proportional to 2,564,594 and 5,472,428 is: 11,677,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,594 : 5,472,428 = 5,472,428 : x
  2. Step 2: Convert to fraction form
    2,564,594/5,472,428 = 5,472,428/x
  3. Step 3: Cross multiply
    2,564,594x = 5,472,428 × 5,472,428
  4. Step 4: Simplify right side
    2,564,594x = 29,947,468,215,184
  5. Step 5: Solve for x
    x = 29,947,468,215,184/2,564,594
  6. Step 6: Final answer
    x = 11,677,274.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.