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Finding the Third Proportional to 700,398 and 1,070,928

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Solution

The third proportional to 700,398 and 1,070,928 is: 1,637,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,398 : 1,070,928 = 1,070,928 : x
  2. Step 2: Convert to fraction form
    700,398/1,070,928 = 1,070,928/x
  3. Step 3: Cross multiply
    700,398x = 1,070,928 × 1,070,928
  4. Step 4: Simplify right side
    700,398x = 1,146,886,781,184
  5. Step 5: Solve for x
    x = 1,146,886,781,184/700,398
  6. Step 6: Final answer
    x = 1,637,478.66

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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.