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Finding the Third Proportional to 571,151.25 and 1,221,014.25

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Solution

The third proportional to 571,151.25 and 1,221,014.25 is: 2,610,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,151.25 : 1,221,014.25 = 1,221,014.25 : x
  2. Step 2: Convert to fraction form
    571,151.25/1,221,014.25 = 1,221,014.25/x
  3. Step 3: Cross multiply
    571,151.25x = 1,221,014.25 × 1,221,014.25
  4. Step 4: Simplify right side
    571,151.25x = 1,490,875,798,703.06
  5. Step 5: Solve for x
    x = 1,490,875,798,703.06/571,151.25
  6. Step 6: Final answer
    x = 2,610,299.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.