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Finding the Third Proportional to 700,420 and 1,070,961

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Solution

The third proportional to 700,420 and 1,070,961 is: 1,637,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,420 : 1,070,961 = 1,070,961 : x
  2. Step 2: Convert to fraction form
    700,420/1,070,961 = 1,070,961/x
  3. Step 3: Cross multiply
    700,420x = 1,070,961 × 1,070,961
  4. Step 4: Simplify right side
    700,420x = 1,146,957,463,521
  5. Step 5: Solve for x
    x = 1,146,957,463,521/700,420
  6. Step 6: Final answer
    x = 1,637,528.15

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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.