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Finding the Third Proportional to 517,952 and 1,127,056

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Solution

The third proportional to 517,952 and 1,127,056 is: 2,452,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,952 : 1,127,056 = 1,127,056 : x
  2. Step 2: Convert to fraction form
    517,952/1,127,056 = 1,127,056/x
  3. Step 3: Cross multiply
    517,952x = 1,127,056 × 1,127,056
  4. Step 4: Simplify right side
    517,952x = 1,270,255,227,136
  5. Step 5: Solve for x
    x = 1,270,255,227,136/517,952
  6. Step 6: Final answer
    x = 2,452,457.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.