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Finding the Third Proportional to 581,680 and 1,230,426

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Solution

The third proportional to 581,680 and 1,230,426 is: 2,602,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,680 : 1,230,426 = 1,230,426 : x
  2. Step 2: Convert to fraction form
    581,680/1,230,426 = 1,230,426/x
  3. Step 3: Cross multiply
    581,680x = 1,230,426 × 1,230,426
  4. Step 4: Simplify right side
    581,680x = 1,513,948,141,476
  5. Step 5: Solve for x
    x = 1,513,948,141,476/581,680
  6. Step 6: Final answer
    x = 2,602,716.51

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