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Finding the Third Proportional to 469,426 and 1,013,680

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Solution

The third proportional to 469,426 and 1,013,680 is: 2,188,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,426 : 1,013,680 = 1,013,680 : x
  2. Step 2: Convert to fraction form
    469,426/1,013,680 = 1,013,680/x
  3. Step 3: Cross multiply
    469,426x = 1,013,680 × 1,013,680
  4. Step 4: Simplify right side
    469,426x = 1,027,547,142,400
  5. Step 5: Solve for x
    x = 1,027,547,142,400/469,426
  6. Step 6: Final answer
    x = 2,188,943.82

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