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Finding the Third Proportional to 783,375 and 1,056,959

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Solution

The third proportional to 783,375 and 1,056,959 is: 1,426,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,375 : 1,056,959 = 1,056,959 : x
  2. Step 2: Convert to fraction form
    783,375/1,056,959 = 1,056,959/x
  3. Step 3: Cross multiply
    783,375x = 1,056,959 × 1,056,959
  4. Step 4: Simplify right side
    783,375x = 1,117,162,327,681
  5. Step 5: Solve for x
    x = 1,117,162,327,681/783,375
  6. Step 6: Final answer
    x = 1,426,088.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.