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Finding the Third Proportional to 1,277,101.50 and 1,977,618

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Solution

The third proportional to 1,277,101.50 and 1,977,618 is: 3,062,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,101.50 : 1,977,618 = 1,977,618 : x
  2. Step 2: Convert to fraction form
    1,277,101.50/1,977,618 = 1,977,618/x
  3. Step 3: Cross multiply
    1,277,101.50x = 1,977,618 × 1,977,618
  4. Step 4: Simplify right side
    1,277,101.50x = 3,910,972,953,924
  5. Step 5: Solve for x
    x = 3,910,972,953,924/1,277,101.50
  6. Step 6: Final answer
    x = 3,062,382.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.