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Finding the Third Proportional to 732,618 and 1,583,777

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Solution

The third proportional to 732,618 and 1,583,777 is: 3,423,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,618 : 1,583,777 = 1,583,777 : x
  2. Step 2: Convert to fraction form
    732,618/1,583,777 = 1,583,777/x
  3. Step 3: Cross multiply
    732,618x = 1,583,777 × 1,583,777
  4. Step 4: Simplify right side
    732,618x = 2,508,349,585,729
  5. Step 5: Solve for x
    x = 2,508,349,585,729/732,618
  6. Step 6: Final answer
    x = 3,423,816.49

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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.