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Finding the Third Proportional to 571,513 and 1,229,047

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Solution

The third proportional to 571,513 and 1,229,047 is: 2,643,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,513 : 1,229,047 = 1,229,047 : x
  2. Step 2: Convert to fraction form
    571,513/1,229,047 = 1,229,047/x
  3. Step 3: Cross multiply
    571,513x = 1,229,047 × 1,229,047
  4. Step 4: Simplify right side
    571,513x = 1,510,556,528,209
  5. Step 5: Solve for x
    x = 1,510,556,528,209/571,513
  6. Step 6: Final answer
    x = 2,643,083.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.