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Finding the Third Proportional to 971,534 and 1,470,855

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Solution

The third proportional to 971,534 and 1,470,855 is: 2,226,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,534 : 1,470,855 = 1,470,855 : x
  2. Step 2: Convert to fraction form
    971,534/1,470,855 = 1,470,855/x
  3. Step 3: Cross multiply
    971,534x = 1,470,855 × 1,470,855
  4. Step 4: Simplify right side
    971,534x = 2,163,414,431,025
  5. Step 5: Solve for x
    x = 2,163,414,431,025/971,534
  6. Step 6: Final answer
    x = 2,226,802.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.