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Finding the Third Proportional to 974,784 and 1,454,088

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Solution

The third proportional to 974,784 and 1,454,088 is: 2,169,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,784 : 1,454,088 = 1,454,088 : x
  2. Step 2: Convert to fraction form
    974,784/1,454,088 = 1,454,088/x
  3. Step 3: Cross multiply
    974,784x = 1,454,088 × 1,454,088
  4. Step 4: Simplify right side
    974,784x = 2,114,371,911,744
  5. Step 5: Solve for x
    x = 2,114,371,911,744/974,784
  6. Step 6: Final answer
    x = 2,169,067.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.