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Finding the Third Proportional to 717,816 and 1,045,566

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Solution

The third proportional to 717,816 and 1,045,566 is: 1,522,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,816 : 1,045,566 = 1,045,566 : x
  2. Step 2: Convert to fraction form
    717,816/1,045,566 = 1,045,566/x
  3. Step 3: Cross multiply
    717,816x = 1,045,566 × 1,045,566
  4. Step 4: Simplify right side
    717,816x = 1,093,208,260,356
  5. Step 5: Solve for x
    x = 1,093,208,260,356/717,816
  6. Step 6: Final answer
    x = 1,522,964.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.