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Finding the Third Proportional to 870,624 and 1,829,376

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Solution

The third proportional to 870,624 and 1,829,376 is: 3,843,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,624 : 1,829,376 = 1,829,376 : x
  2. Step 2: Convert to fraction form
    870,624/1,829,376 = 1,829,376/x
  3. Step 3: Cross multiply
    870,624x = 1,829,376 × 1,829,376
  4. Step 4: Simplify right side
    870,624x = 3,346,616,549,376
  5. Step 5: Solve for x
    x = 3,346,616,549,376/870,624
  6. Step 6: Final answer
    x = 3,843,928.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.