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Finding the Third Proportional to 1,657,757 and 3,567,618

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Solution

The third proportional to 1,657,757 and 3,567,618 is: 7,677,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,757 : 3,567,618 = 3,567,618 : x
  2. Step 2: Convert to fraction form
    1,657,757/3,567,618 = 3,567,618/x
  3. Step 3: Cross multiply
    1,657,757x = 3,567,618 × 3,567,618
  4. Step 4: Simplify right side
    1,657,757x = 12,727,898,193,924
  5. Step 5: Solve for x
    x = 12,727,898,193,924/1,657,757
  6. Step 6: Final answer
    x = 7,677,782.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.