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Finding the Third Proportional to 610,461 and 897,426

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Solution

The third proportional to 610,461 and 897,426 is: 1,319,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,461 : 897,426 = 897,426 : x
  2. Step 2: Convert to fraction form
    610,461/897,426 = 897,426/x
  3. Step 3: Cross multiply
    610,461x = 897,426 × 897,426
  4. Step 4: Simplify right side
    610,461x = 805,373,425,476
  5. Step 5: Solve for x
    x = 805,373,425,476/610,461
  6. Step 6: Final answer
    x = 1,319,287.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.