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Finding the Third Proportional to 576,726 and 1,258,428

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Solution

The third proportional to 576,726 and 1,258,428 is: 2,745,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,726 : 1,258,428 = 1,258,428 : x
  2. Step 2: Convert to fraction form
    576,726/1,258,428 = 1,258,428/x
  3. Step 3: Cross multiply
    576,726x = 1,258,428 × 1,258,428
  4. Step 4: Simplify right side
    576,726x = 1,583,641,031,184
  5. Step 5: Solve for x
    x = 1,583,641,031,184/576,726
  6. Step 6: Final answer
    x = 2,745,915.79

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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.