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Finding the Third Proportional to 803,232 and 1,070,856

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Solution

The third proportional to 803,232 and 1,070,856 is: 1,427,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,232 : 1,070,856 = 1,070,856 : x
  2. Step 2: Convert to fraction form
    803,232/1,070,856 = 1,070,856/x
  3. Step 3: Cross multiply
    803,232x = 1,070,856 × 1,070,856
  4. Step 4: Simplify right side
    803,232x = 1,146,732,572,736
  5. Step 5: Solve for x
    x = 1,146,732,572,736/803,232
  6. Step 6: Final answer
    x = 1,427,648.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.