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Finding the Third Proportional to 684,068 and 1,484,940

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Solution

The third proportional to 684,068 and 1,484,940 is: 3,223,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,068 : 1,484,940 = 1,484,940 : x
  2. Step 2: Convert to fraction form
    684,068/1,484,940 = 1,484,940/x
  3. Step 3: Cross multiply
    684,068x = 1,484,940 × 1,484,940
  4. Step 4: Simplify right side
    684,068x = 2,205,046,803,600
  5. Step 5: Solve for x
    x = 2,205,046,803,600/684,068
  6. Step 6: Final answer
    x = 3,223,432.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.