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Finding the Third Proportional to 418,770 and 917,289

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Solution

The third proportional to 418,770 and 917,289 is: 2,009,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,770 : 917,289 = 917,289 : x
  2. Step 2: Convert to fraction form
    418,770/917,289 = 917,289/x
  3. Step 3: Cross multiply
    418,770x = 917,289 × 917,289
  4. Step 4: Simplify right side
    418,770x = 841,419,109,521
  5. Step 5: Solve for x
    x = 841,419,109,521/418,770
  6. Step 6: Final answer
    x = 2,009,263.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.