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Finding the Third Proportional to 717,084 and 1,564,596

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Solution

The third proportional to 717,084 and 1,564,596 is: 3,413,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,084 : 1,564,596 = 1,564,596 : x
  2. Step 2: Convert to fraction form
    717,084/1,564,596 = 1,564,596/x
  3. Step 3: Cross multiply
    717,084x = 1,564,596 × 1,564,596
  4. Step 4: Simplify right side
    717,084x = 2,447,960,643,216
  5. Step 5: Solve for x
    x = 2,447,960,643,216/717,084
  6. Step 6: Final answer
    x = 3,413,771.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.