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Finding the Third Proportional to 684,119 and 1,005,582

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Solution

The third proportional to 684,119 and 1,005,582 is: 1,478,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,119 : 1,005,582 = 1,005,582 : x
  2. Step 2: Convert to fraction form
    684,119/1,005,582 = 1,005,582/x
  3. Step 3: Cross multiply
    684,119x = 1,005,582 × 1,005,582
  4. Step 4: Simplify right side
    684,119x = 1,011,195,158,724
  5. Step 5: Solve for x
    x = 1,011,195,158,724/684,119
  6. Step 6: Final answer
    x = 1,478,098.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.