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Finding the Third Proportional to 468,460,432 and 1,017,564,624

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Solution

The third proportional to 468,460,432 and 1,017,564,624 is: 2,210,299,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,460,432 : 1,017,564,624 = 1,017,564,624 : x
  2. Step 2: Convert to fraction form
    468,460,432/1,017,564,624 = 1,017,564,624/x
  3. Step 3: Cross multiply
    468,460,432x = 1,017,564,624 × 1,017,564,624
  4. Step 4: Simplify right side
    468,460,432x = 1,035,437,764,016,261,376
  5. Step 5: Solve for x
    x = 1,035,437,764,016,261,376/468,460,432
  6. Step 6: Final answer
    x = 2,210,299,298.06

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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.