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Finding the Third Proportional to 870,464 and 1,845,472

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Solution

The third proportional to 870,464 and 1,845,472 is: 3,912,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,464 : 1,845,472 = 1,845,472 : x
  2. Step 2: Convert to fraction form
    870,464/1,845,472 = 1,845,472/x
  3. Step 3: Cross multiply
    870,464x = 1,845,472 × 1,845,472
  4. Step 4: Simplify right side
    870,464x = 3,405,766,902,784
  5. Step 5: Solve for x
    x = 3,405,766,902,784/870,464
  6. Step 6: Final answer
    x = 3,912,587.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.