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Finding the Third Proportional to 784,618 and 1,693,636

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Solution

The third proportional to 784,618 and 1,693,636 is: 3,655,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,618 : 1,693,636 = 1,693,636 : x
  2. Step 2: Convert to fraction form
    784,618/1,693,636 = 1,693,636/x
  3. Step 3: Cross multiply
    784,618x = 1,693,636 × 1,693,636
  4. Step 4: Simplify right side
    784,618x = 2,868,402,900,496
  5. Step 5: Solve for x
    x = 2,868,402,900,496/784,618
  6. Step 6: Final answer
    x = 3,655,795.43

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