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Finding the Third Proportional to 571,426 and 1,206,468

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Solution

The third proportional to 571,426 and 1,206,468 is: 2,547,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,426 : 1,206,468 = 1,206,468 : x
  2. Step 2: Convert to fraction form
    571,426/1,206,468 = 1,206,468/x
  3. Step 3: Cross multiply
    571,426x = 1,206,468 × 1,206,468
  4. Step 4: Simplify right side
    571,426x = 1,455,565,035,024
  5. Step 5: Solve for x
    x = 1,455,565,035,024/571,426
  6. Step 6: Final answer
    x = 2,547,250.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.