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Finding the Third Proportional to 918,596 and 1,306,452

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Solution

The third proportional to 918,596 and 1,306,452 is: 1,858,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,596 : 1,306,452 = 1,306,452 : x
  2. Step 2: Convert to fraction form
    918,596/1,306,452 = 1,306,452/x
  3. Step 3: Cross multiply
    918,596x = 1,306,452 × 1,306,452
  4. Step 4: Simplify right side
    918,596x = 1,706,816,828,304
  5. Step 5: Solve for x
    x = 1,706,816,828,304/918,596
  6. Step 6: Final answer
    x = 1,858,071.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.