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Finding the Third Proportional to 872,382 and 1,878,396

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Solution

The third proportional to 872,382 and 1,878,396 is: 4,044,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,382 : 1,878,396 = 1,878,396 : x
  2. Step 2: Convert to fraction form
    872,382/1,878,396 = 1,878,396/x
  3. Step 3: Cross multiply
    872,382x = 1,878,396 × 1,878,396
  4. Step 4: Simplify right side
    872,382x = 3,528,371,532,816
  5. Step 5: Solve for x
    x = 3,528,371,532,816/872,382
  6. Step 6: Final answer
    x = 4,044,525.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.