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Finding the Third Proportional to 711,883.69 and 1,535,653.69

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Solution

The third proportional to 711,883.69 and 1,535,653.69 is: 3,312,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,883.69 : 1,535,653.69 = 1,535,653.69 : x
  2. Step 2: Convert to fraction form
    711,883.69/1,535,653.69 = 1,535,653.69/x
  3. Step 3: Cross multiply
    711,883.69x = 1,535,653.69 × 1,535,653.69
  4. Step 4: Simplify right side
    711,883.69x = 2,358,232,247,932.35
  5. Step 5: Solve for x
    x = 2,358,232,247,932.35/711,883.69
  6. Step 6: Final answer
    x = 3,312,665.10

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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.