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Finding the Third Proportional to 843,360 and 1,341,294

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Solution

The third proportional to 843,360 and 1,341,294 is: 2,133,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,360 : 1,341,294 = 1,341,294 : x
  2. Step 2: Convert to fraction form
    843,360/1,341,294 = 1,341,294/x
  3. Step 3: Cross multiply
    843,360x = 1,341,294 × 1,341,294
  4. Step 4: Simplify right side
    843,360x = 1,799,069,594,436
  5. Step 5: Solve for x
    x = 1,799,069,594,436/843,360
  6. Step 6: Final answer
    x = 2,133,216.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.