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Finding the Third Proportional to 890,352 and 1,377,000

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Solution

The third proportional to 890,352 and 1,377,000 is: 2,129,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,352 : 1,377,000 = 1,377,000 : x
  2. Step 2: Convert to fraction form
    890,352/1,377,000 = 1,377,000/x
  3. Step 3: Cross multiply
    890,352x = 1,377,000 × 1,377,000
  4. Step 4: Simplify right side
    890,352x = 1,896,129,000,000
  5. Step 5: Solve for x
    x = 1,896,129,000,000/890,352
  6. Step 6: Final answer
    x = 2,129,639.74

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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.