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Finding the Third Proportional to 516,724 and 1,114,952

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Solution

The third proportional to 516,724 and 1,114,952 is: 2,405,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,724 : 1,114,952 = 1,114,952 : x
  2. Step 2: Convert to fraction form
    516,724/1,114,952 = 1,114,952/x
  3. Step 3: Cross multiply
    516,724x = 1,114,952 × 1,114,952
  4. Step 4: Simplify right side
    516,724x = 1,243,117,962,304
  5. Step 5: Solve for x
    x = 1,243,117,962,304/516,724
  6. Step 6: Final answer
    x = 2,405,767.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.