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Finding the Third Proportional to 890,046 and 1,377,306

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Solution

The third proportional to 890,046 and 1,377,306 is: 2,131,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,046 : 1,377,306 = 1,377,306 : x
  2. Step 2: Convert to fraction form
    890,046/1,377,306 = 1,377,306/x
  3. Step 3: Cross multiply
    890,046x = 1,377,306 × 1,377,306
  4. Step 4: Simplify right side
    890,046x = 1,896,971,817,636
  5. Step 5: Solve for x
    x = 1,896,971,817,636/890,046
  6. Step 6: Final answer
    x = 2,131,318.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.