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Finding the Third Proportional to 710,943 and 1,155,039

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Solution

The third proportional to 710,943 and 1,155,039 is: 1,876,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,943 : 1,155,039 = 1,155,039 : x
  2. Step 2: Convert to fraction form
    710,943/1,155,039 = 1,155,039/x
  3. Step 3: Cross multiply
    710,943x = 1,155,039 × 1,155,039
  4. Step 4: Simplify right side
    710,943x = 1,334,115,091,521
  5. Step 5: Solve for x
    x = 1,334,115,091,521/710,943
  6. Step 6: Final answer
    x = 1,876,542.97

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.