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Finding the Third Proportional to 917,412 and 1,417,024

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Solution

The third proportional to 917,412 and 1,417,024 is: 2,188,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,412 : 1,417,024 = 1,417,024 : x
  2. Step 2: Convert to fraction form
    917,412/1,417,024 = 1,417,024/x
  3. Step 3: Cross multiply
    917,412x = 1,417,024 × 1,417,024
  4. Step 4: Simplify right side
    917,412x = 2,007,957,016,576
  5. Step 5: Solve for x
    x = 2,007,957,016,576/917,412
  6. Step 6: Final answer
    x = 2,188,718.94

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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.