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Finding the Third Proportional to 702,144 and 1,537,632

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Solution

The third proportional to 702,144 and 1,537,632 is: 3,367,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,144 : 1,537,632 = 1,537,632 : x
  2. Step 2: Convert to fraction form
    702,144/1,537,632 = 1,537,632/x
  3. Step 3: Cross multiply
    702,144x = 1,537,632 × 1,537,632
  4. Step 4: Simplify right side
    702,144x = 2,364,312,167,424
  5. Step 5: Solve for x
    x = 2,364,312,167,424/702,144
  6. Step 6: Final answer
    x = 3,367,275.33

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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.