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Finding the Third Proportional to 720,102 and 1,575,816

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Solution

The third proportional to 720,102 and 1,575,816 is: 3,448,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,102 : 1,575,816 = 1,575,816 : x
  2. Step 2: Convert to fraction form
    720,102/1,575,816 = 1,575,816/x
  3. Step 3: Cross multiply
    720,102x = 1,575,816 × 1,575,816
  4. Step 4: Simplify right side
    720,102x = 2,483,196,065,856
  5. Step 5: Solve for x
    x = 2,483,196,065,856/720,102
  6. Step 6: Final answer
    x = 3,448,394.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.