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Finding the Third Proportional to 598,143 and 1,312,539

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Solution

The third proportional to 598,143 and 1,312,539 is: 2,880,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,143 : 1,312,539 = 1,312,539 : x
  2. Step 2: Convert to fraction form
    598,143/1,312,539 = 1,312,539/x
  3. Step 3: Cross multiply
    598,143x = 1,312,539 × 1,312,539
  4. Step 4: Simplify right side
    598,143x = 1,722,758,626,521
  5. Step 5: Solve for x
    x = 1,722,758,626,521/598,143
  6. Step 6: Final answer
    x = 2,880,178.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.