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Finding the Third Proportional to 971,322 and 1,470,531

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Solution

The third proportional to 971,322 and 1,470,531 is: 2,226,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,322 : 1,470,531 = 1,470,531 : x
  2. Step 2: Convert to fraction form
    971,322/1,470,531 = 1,470,531/x
  3. Step 3: Cross multiply
    971,322x = 1,470,531 × 1,470,531
  4. Step 4: Simplify right side
    971,322x = 2,162,461,421,961
  5. Step 5: Solve for x
    x = 2,162,461,421,961/971,322
  6. Step 6: Final answer
    x = 2,226,307.47

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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.