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Finding the Third Proportional to 891,963 and 1,271,511

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Solution

The third proportional to 891,963 and 1,271,511 is: 1,812,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,963 : 1,271,511 = 1,271,511 : x
  2. Step 2: Convert to fraction form
    891,963/1,271,511 = 1,271,511/x
  3. Step 3: Cross multiply
    891,963x = 1,271,511 × 1,271,511
  4. Step 4: Simplify right side
    891,963x = 1,616,740,223,121
  5. Step 5: Solve for x
    x = 1,616,740,223,121/891,963
  6. Step 6: Final answer
    x = 1,812,564.22

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Why These Related Problems?

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