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Finding the Third Proportional to 717,842 and 1,045,599

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Solution

The third proportional to 717,842 and 1,045,599 is: 1,523,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,842 : 1,045,599 = 1,045,599 : x
  2. Step 2: Convert to fraction form
    717,842/1,045,599 = 1,045,599/x
  3. Step 3: Cross multiply
    717,842x = 1,045,599 × 1,045,599
  4. Step 4: Simplify right side
    717,842x = 1,093,277,268,801
  5. Step 5: Solve for x
    x = 1,093,277,268,801/717,842
  6. Step 6: Final answer
    x = 1,523,005.44

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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.