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Finding the Third Proportional to 450,368 and 970,624

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Solution

The third proportional to 450,368 and 970,624 is: 2,091,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,368 : 970,624 = 970,624 : x
  2. Step 2: Convert to fraction form
    450,368/970,624 = 970,624/x
  3. Step 3: Cross multiply
    450,368x = 970,624 × 970,624
  4. Step 4: Simplify right side
    450,368x = 942,110,949,376
  5. Step 5: Solve for x
    x = 942,110,949,376/450,368
  6. Step 6: Final answer
    x = 2,091,869.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.