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Finding the Third Proportional to 466,643 and 1,022,710

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Solution

The third proportional to 466,643 and 1,022,710 is: 2,241,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,643 : 1,022,710 = 1,022,710 : x
  2. Step 2: Convert to fraction form
    466,643/1,022,710 = 1,022,710/x
  3. Step 3: Cross multiply
    466,643x = 1,022,710 × 1,022,710
  4. Step 4: Simplify right side
    466,643x = 1,045,935,744,100
  5. Step 5: Solve for x
    x = 1,045,935,744,100/466,643
  6. Step 6: Final answer
    x = 2,241,404.55

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