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Finding the Third Proportional to 718,461 and 1,127,048

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Solution

The third proportional to 718,461 and 1,127,048 is: 1,767,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,461 : 1,127,048 = 1,127,048 : x
  2. Step 2: Convert to fraction form
    718,461/1,127,048 = 1,127,048/x
  3. Step 3: Cross multiply
    718,461x = 1,127,048 × 1,127,048
  4. Step 4: Simplify right side
    718,461x = 1,270,237,194,304
  5. Step 5: Solve for x
    x = 1,270,237,194,304/718,461
  6. Step 6: Final answer
    x = 1,767,997.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.