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Finding the Third Proportional to 420,730 and 912,793

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Solution

The third proportional to 420,730 and 912,793 is: 1,980,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,730 : 912,793 = 912,793 : x
  2. Step 2: Convert to fraction form
    420,730/912,793 = 912,793/x
  3. Step 3: Cross multiply
    420,730x = 912,793 × 912,793
  4. Step 4: Simplify right side
    420,730x = 833,191,060,849
  5. Step 5: Solve for x
    x = 833,191,060,849/420,730
  6. Step 6: Final answer
    x = 1,980,346.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.