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Finding the Third Proportional to 717,376 and 1,141,664

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Solution

The third proportional to 717,376 and 1,141,664 is: 1,816,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,376 : 1,141,664 = 1,141,664 : x
  2. Step 2: Convert to fraction form
    717,376/1,141,664 = 1,141,664/x
  3. Step 3: Cross multiply
    717,376x = 1,141,664 × 1,141,664
  4. Step 4: Simplify right side
    717,376x = 1,303,396,688,896
  5. Step 5: Solve for x
    x = 1,303,396,688,896/717,376
  6. Step 6: Final answer
    x = 1,816,894.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.