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Finding the Third Proportional to 711,990 and 1,535,304.38

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Solution

The third proportional to 711,990 and 1,535,304.38 is: 3,310,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,990 : 1,535,304.38 = 1,535,304.38 : x
  2. Step 2: Convert to fraction form
    711,990/1,535,304.38 = 1,535,304.38/x
  3. Step 3: Cross multiply
    711,990x = 1,535,304.38 × 1,535,304.38
  4. Step 4: Simplify right side
    711,990x = 2,357,159,523,894.14
  5. Step 5: Solve for x
    x = 2,357,159,523,894.14/711,990
  6. Step 6: Final answer
    x = 3,310,663.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.