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Finding the Third Proportional to 846,726 and 1,207,029

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Solution

The third proportional to 846,726 and 1,207,029 is: 1,720,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,726 : 1,207,029 = 1,207,029 : x
  2. Step 2: Convert to fraction form
    846,726/1,207,029 = 1,207,029/x
  3. Step 3: Cross multiply
    846,726x = 1,207,029 × 1,207,029
  4. Step 4: Simplify right side
    846,726x = 1,456,919,006,841
  5. Step 5: Solve for x
    x = 1,456,919,006,841/846,726
  6. Step 6: Final answer
    x = 1,720,649.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.