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Finding the Third Proportional to 610,848 and 917,424

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Solution

The third proportional to 610,848 and 917,424 is: 1,377,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,848 : 917,424 = 917,424 : x
  2. Step 2: Convert to fraction form
    610,848/917,424 = 917,424/x
  3. Step 3: Cross multiply
    610,848x = 917,424 × 917,424
  4. Step 4: Simplify right side
    610,848x = 841,666,795,776
  5. Step 5: Solve for x
    x = 841,666,795,776/610,848
  6. Step 6: Final answer
    x = 1,377,866.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.