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Finding the Third Proportional to 576,771 and 1,265,862

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Solution

The third proportional to 576,771 and 1,265,862 is: 2,778,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,771 : 1,265,862 = 1,265,862 : x
  2. Step 2: Convert to fraction form
    576,771/1,265,862 = 1,265,862/x
  3. Step 3: Cross multiply
    576,771x = 1,265,862 × 1,265,862
  4. Step 4: Simplify right side
    576,771x = 1,602,406,603,044
  5. Step 5: Solve for x
    x = 1,602,406,603,044/576,771
  6. Step 6: Final answer
    x = 2,778,237.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.