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Finding the Third Proportional to 700,434 and 1,070,985

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Solution

The third proportional to 700,434 and 1,070,985 is: 1,637,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,434 : 1,070,985 = 1,070,985 : x
  2. Step 2: Convert to fraction form
    700,434/1,070,985 = 1,070,985/x
  3. Step 3: Cross multiply
    700,434x = 1,070,985 × 1,070,985
  4. Step 4: Simplify right side
    700,434x = 1,147,008,870,225
  5. Step 5: Solve for x
    x = 1,147,008,870,225/700,434
  6. Step 6: Final answer
    x = 1,637,568.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.