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Finding the Third Proportional to 680,386 and 1,426,382

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Solution

The third proportional to 680,386 and 1,426,382 is: 2,990,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,386 : 1,426,382 = 1,426,382 : x
  2. Step 2: Convert to fraction form
    680,386/1,426,382 = 1,426,382/x
  3. Step 3: Cross multiply
    680,386x = 1,426,382 × 1,426,382
  4. Step 4: Simplify right side
    680,386x = 2,034,565,609,924
  5. Step 5: Solve for x
    x = 2,034,565,609,924/680,386
  6. Step 6: Final answer
    x = 2,990,310.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.