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Finding the Third Proportional to 917,411 and 1,417,022

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Solution

The third proportional to 917,411 and 1,417,022 is: 2,188,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,411 : 1,417,022 = 1,417,022 : x
  2. Step 2: Convert to fraction form
    917,411/1,417,022 = 1,417,022/x
  3. Step 3: Cross multiply
    917,411x = 1,417,022 × 1,417,022
  4. Step 4: Simplify right side
    917,411x = 2,007,951,348,484
  5. Step 5: Solve for x
    x = 2,007,951,348,484/917,411
  6. Step 6: Final answer
    x = 2,188,715.14

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Why These Related Problems?

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