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Finding the Third Proportional to 891,964 and 1,271,514

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Solution

The third proportional to 891,964 and 1,271,514 is: 1,812,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,964 : 1,271,514 = 1,271,514 : x
  2. Step 2: Convert to fraction form
    891,964/1,271,514 = 1,271,514/x
  3. Step 3: Cross multiply
    891,964x = 1,271,514 × 1,271,514
  4. Step 4: Simplify right side
    891,964x = 1,616,747,852,196
  5. Step 5: Solve for x
    x = 1,616,747,852,196/891,964
  6. Step 6: Final answer
    x = 1,812,570.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.