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Finding the Third Proportional to 699,816 and 1,501,532

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Solution

The third proportional to 699,816 and 1,501,532 is: 3,221,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,816 : 1,501,532 = 1,501,532 : x
  2. Step 2: Convert to fraction form
    699,816/1,501,532 = 1,501,532/x
  3. Step 3: Cross multiply
    699,816x = 1,501,532 × 1,501,532
  4. Step 4: Simplify right side
    699,816x = 2,254,598,347,024
  5. Step 5: Solve for x
    x = 2,254,598,347,024/699,816
  6. Step 6: Final answer
    x = 3,221,701.63

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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.