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Finding the Third Proportional to 768,403 and 1,234,618

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Solution

The third proportional to 768,403 and 1,234,618 is: 1,983,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,403 : 1,234,618 = 1,234,618 : x
  2. Step 2: Convert to fraction form
    768,403/1,234,618 = 1,234,618/x
  3. Step 3: Cross multiply
    768,403x = 1,234,618 × 1,234,618
  4. Step 4: Simplify right side
    768,403x = 1,524,281,605,924
  5. Step 5: Solve for x
    x = 1,524,281,605,924/768,403
  6. Step 6: Final answer
    x = 1,983,700.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.