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Finding the Third Proportional to 735,902 and 1,079,618

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Solution

The third proportional to 735,902 and 1,079,618 is: 1,583,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,902 : 1,079,618 = 1,079,618 : x
  2. Step 2: Convert to fraction form
    735,902/1,079,618 = 1,079,618/x
  3. Step 3: Cross multiply
    735,902x = 1,079,618 × 1,079,618
  4. Step 4: Simplify right side
    735,902x = 1,165,575,025,924
  5. Step 5: Solve for x
    x = 1,165,575,025,924/735,902
  6. Step 6: Final answer
    x = 1,583,872.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.