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Finding the Third Proportional to 702,145 and 1,510,943

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Solution

The third proportional to 702,145 and 1,510,943 is: 3,251,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,145 : 1,510,943 = 1,510,943 : x
  2. Step 2: Convert to fraction form
    702,145/1,510,943 = 1,510,943/x
  3. Step 3: Cross multiply
    702,145x = 1,510,943 × 1,510,943
  4. Step 4: Simplify right side
    702,145x = 2,282,948,749,249
  5. Step 5: Solve for x
    x = 2,282,948,749,249/702,145
  6. Step 6: Final answer
    x = 3,251,392.16

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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.