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Finding the Third Proportional to 469,394 and 1,013,618

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Solution

The third proportional to 469,394 and 1,013,618 is: 2,188,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,394 : 1,013,618 = 1,013,618 : x
  2. Step 2: Convert to fraction form
    469,394/1,013,618 = 1,013,618/x
  3. Step 3: Cross multiply
    469,394x = 1,013,618 × 1,013,618
  4. Step 4: Simplify right side
    469,394x = 1,027,421,449,924
  5. Step 5: Solve for x
    x = 1,027,421,449,924/469,394
  6. Step 6: Final answer
    x = 2,188,825.27

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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.