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Finding the Third Proportional to 561,265 and 1,155,618

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Solution

The third proportional to 561,265 and 1,155,618 is: 2,379,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,265 : 1,155,618 = 1,155,618 : x
  2. Step 2: Convert to fraction form
    561,265/1,155,618 = 1,155,618/x
  3. Step 3: Cross multiply
    561,265x = 1,155,618 × 1,155,618
  4. Step 4: Simplify right side
    561,265x = 1,335,452,961,924
  5. Step 5: Solve for x
    x = 1,335,452,961,924/561,265
  6. Step 6: Final answer
    x = 2,379,362.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.