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Finding the Third Proportional to 830,682 and 1,301,382

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Solution

The third proportional to 830,682 and 1,301,382 is: 2,038,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,682 : 1,301,382 = 1,301,382 : x
  2. Step 2: Convert to fraction form
    830,682/1,301,382 = 1,301,382/x
  3. Step 3: Cross multiply
    830,682x = 1,301,382 × 1,301,382
  4. Step 4: Simplify right side
    830,682x = 1,693,595,109,924
  5. Step 5: Solve for x
    x = 1,693,595,109,924/830,682
  6. Step 6: Final answer
    x = 2,038,800.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.