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Finding the Third Proportional to 1,302,509 and 2,815,618

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Solution

The third proportional to 1,302,509 and 2,815,618 is: 6,086,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,509 : 2,815,618 = 2,815,618 : x
  2. Step 2: Convert to fraction form
    1,302,509/2,815,618 = 2,815,618/x
  3. Step 3: Cross multiply
    1,302,509x = 2,815,618 × 2,815,618
  4. Step 4: Simplify right side
    1,302,509x = 7,927,704,721,924
  5. Step 5: Solve for x
    x = 7,927,704,721,924/1,302,509
  6. Step 6: Final answer
    x = 6,086,487.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.