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Finding the Third Proportional to 922,724 and 1,241,580

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Solution

The third proportional to 922,724 and 1,241,580 is: 1,670,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,724 : 1,241,580 = 1,241,580 : x
  2. Step 2: Convert to fraction form
    922,724/1,241,580 = 1,241,580/x
  3. Step 3: Cross multiply
    922,724x = 1,241,580 × 1,241,580
  4. Step 4: Simplify right side
    922,724x = 1,541,520,896,400
  5. Step 5: Solve for x
    x = 1,541,520,896,400/922,724
  6. Step 6: Final answer
    x = 1,670,619.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.