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Finding the Third Proportional to 571,428 and 1,206,472

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Solution

The third proportional to 571,428 and 1,206,472 is: 2,547,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,428 : 1,206,472 = 1,206,472 : x
  2. Step 2: Convert to fraction form
    571,428/1,206,472 = 1,206,472/x
  3. Step 3: Cross multiply
    571,428x = 1,206,472 × 1,206,472
  4. Step 4: Simplify right side
    571,428x = 1,455,574,686,784
  5. Step 5: Solve for x
    x = 1,455,574,686,784/571,428
  6. Step 6: Final answer
    x = 2,547,258.25

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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.