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Finding the Third Proportional to 710,365 and 1,083,277

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Solution

The third proportional to 710,365 and 1,083,277 is: 1,651,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,365 : 1,083,277 = 1,083,277 : x
  2. Step 2: Convert to fraction form
    710,365/1,083,277 = 1,083,277/x
  3. Step 3: Cross multiply
    710,365x = 1,083,277 × 1,083,277
  4. Step 4: Simplify right side
    710,365x = 1,173,489,058,729
  5. Step 5: Solve for x
    x = 1,173,489,058,729/710,365
  6. Step 6: Final answer
    x = 1,651,952.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.