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Finding the Third Proportional to 702,513 and 1,523,133

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Solution

The third proportional to 702,513 and 1,523,133 is: 3,302,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,513 : 1,523,133 = 1,523,133 : x
  2. Step 2: Convert to fraction form
    702,513/1,523,133 = 1,523,133/x
  3. Step 3: Cross multiply
    702,513x = 1,523,133 × 1,523,133
  4. Step 4: Simplify right side
    702,513x = 2,319,934,135,689
  5. Step 5: Solve for x
    x = 2,319,934,135,689/702,513
  6. Step 6: Final answer
    x = 3,302,336.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.