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Finding the Third Proportional to 661,509 and 1,018,112

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Solution

The third proportional to 661,509 and 1,018,112 is: 1,566,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,509 : 1,018,112 = 1,018,112 : x
  2. Step 2: Convert to fraction form
    661,509/1,018,112 = 1,018,112/x
  3. Step 3: Cross multiply
    661,509x = 1,018,112 × 1,018,112
  4. Step 4: Simplify right side
    661,509x = 1,036,552,044,544
  5. Step 5: Solve for x
    x = 1,036,552,044,544/661,509
  6. Step 6: Final answer
    x = 1,566,950.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.