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Finding the Third Proportional to 718,586 and 1,577,142

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Solution

The third proportional to 718,586 and 1,577,142 is: 3,461,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,586 : 1,577,142 = 1,577,142 : x
  2. Step 2: Convert to fraction form
    718,586/1,577,142 = 1,577,142/x
  3. Step 3: Cross multiply
    718,586x = 1,577,142 × 1,577,142
  4. Step 4: Simplify right side
    718,586x = 2,487,376,888,164
  5. Step 5: Solve for x
    x = 2,487,376,888,164/718,586
  6. Step 6: Final answer
    x = 3,461,488.10

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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.