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Finding the Third Proportional to 459,432 and 974,528

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Solution

The third proportional to 459,432 and 974,528 is: 2,067,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432 : 974,528 = 974,528 : x
  2. Step 2: Convert to fraction form
    459,432/974,528 = 974,528/x
  3. Step 3: Cross multiply
    459,432x = 974,528 × 974,528
  4. Step 4: Simplify right side
    459,432x = 949,704,822,784
  5. Step 5: Solve for x
    x = 949,704,822,784/459,432
  6. Step 6: Final answer
    x = 2,067,128.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.