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Finding the Third Proportional to 996,319 and 1,586,113

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Solution

The third proportional to 996,319 and 1,586,113 is: 2,525,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,319 : 1,586,113 = 1,586,113 : x
  2. Step 2: Convert to fraction form
    996,319/1,586,113 = 1,586,113/x
  3. Step 3: Cross multiply
    996,319x = 1,586,113 × 1,586,113
  4. Step 4: Simplify right side
    996,319x = 2,515,754,448,769
  5. Step 5: Solve for x
    x = 2,515,754,448,769/996,319
  6. Step 6: Final answer
    x = 2,525,049.15

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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.