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Finding the Third Proportional to 961,572 and 2,056,548

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Solution

The third proportional to 961,572 and 2,056,548 is: 4,398,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,572 : 2,056,548 = 2,056,548 : x
  2. Step 2: Convert to fraction form
    961,572/2,056,548 = 2,056,548/x
  3. Step 3: Cross multiply
    961,572x = 2,056,548 × 2,056,548
  4. Step 4: Simplify right side
    961,572x = 4,229,389,676,304
  5. Step 5: Solve for x
    x = 4,229,389,676,304/961,572
  6. Step 6: Final answer
    x = 4,398,411.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.