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Finding the Third Proportional to 700,438 and 1,070,991

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Solution

The third proportional to 700,438 and 1,070,991 is: 1,637,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,438 : 1,070,991 = 1,070,991 : x
  2. Step 2: Convert to fraction form
    700,438/1,070,991 = 1,070,991/x
  3. Step 3: Cross multiply
    700,438x = 1,070,991 × 1,070,991
  4. Step 4: Simplify right side
    700,438x = 1,147,021,722,081
  5. Step 5: Solve for x
    x = 1,147,021,722,081/700,438
  6. Step 6: Final answer
    x = 1,637,577.80

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Why These Related Problems?

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