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Finding the Third Proportional to 649,582 and 1,417,206

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Solution

The third proportional to 649,582 and 1,417,206 is: 3,091,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,582 : 1,417,206 = 1,417,206 : x
  2. Step 2: Convert to fraction form
    649,582/1,417,206 = 1,417,206/x
  3. Step 3: Cross multiply
    649,582x = 1,417,206 × 1,417,206
  4. Step 4: Simplify right side
    649,582x = 2,008,472,846,436
  5. Step 5: Solve for x
    x = 2,008,472,846,436/649,582
  6. Step 6: Final answer
    x = 3,091,946.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.