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Finding the Third Proportional to 700,352 and 1,019,900

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Solution

The third proportional to 700,352 and 1,019,900 is: 1,485,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,352 : 1,019,900 = 1,019,900 : x
  2. Step 2: Convert to fraction form
    700,352/1,019,900 = 1,019,900/x
  3. Step 3: Cross multiply
    700,352x = 1,019,900 × 1,019,900
  4. Step 4: Simplify right side
    700,352x = 1,040,196,010,000
  5. Step 5: Solve for x
    x = 1,040,196,010,000/700,352
  6. Step 6: Final answer
    x = 1,485,247.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.