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Finding the Third Proportional to 917,410 and 1,417,020

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Solution

The third proportional to 917,410 and 1,417,020 is: 2,188,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,410 : 1,417,020 = 1,417,020 : x
  2. Step 2: Convert to fraction form
    917,410/1,417,020 = 1,417,020/x
  3. Step 3: Cross multiply
    917,410x = 1,417,020 × 1,417,020
  4. Step 4: Simplify right side
    917,410x = 2,007,945,680,400
  5. Step 5: Solve for x
    x = 2,007,945,680,400/917,410
  6. Step 6: Final answer
    x = 2,188,711.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.