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Finding the Third Proportional to 2,710,574 and 3,613,618

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Solution

The third proportional to 2,710,574 and 3,613,618 is: 4,817,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710,574 : 3,613,618 = 3,613,618 : x
  2. Step 2: Convert to fraction form
    2,710,574/3,613,618 = 3,613,618/x
  3. Step 3: Cross multiply
    2,710,574x = 3,613,618 × 3,613,618
  4. Step 4: Simplify right side
    2,710,574x = 13,058,235,049,924
  5. Step 5: Solve for x
    x = 13,058,235,049,924/2,710,574
  6. Step 6: Final answer
    x = 4,817,516.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.