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Finding the Third Proportional to 750,610 and 1,531,780

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Solution

The third proportional to 750,610 and 1,531,780 is: 3,125,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,610 : 1,531,780 = 1,531,780 : x
  2. Step 2: Convert to fraction form
    750,610/1,531,780 = 1,531,780/x
  3. Step 3: Cross multiply
    750,610x = 1,531,780 × 1,531,780
  4. Step 4: Simplify right side
    750,610x = 2,346,349,968,400
  5. Step 5: Solve for x
    x = 2,346,349,968,400/750,610
  6. Step 6: Final answer
    x = 3,125,924.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.