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Finding the Third Proportional to 971,192 and 1,470,333

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Solution

The third proportional to 971,192 and 1,470,333 is: 2,226,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,192 : 1,470,333 = 1,470,333 : x
  2. Step 2: Convert to fraction form
    971,192/1,470,333 = 1,470,333/x
  3. Step 3: Cross multiply
    971,192x = 1,470,333 × 1,470,333
  4. Step 4: Simplify right side
    971,192x = 2,161,879,130,889
  5. Step 5: Solve for x
    x = 2,161,879,130,889/971,192
  6. Step 6: Final answer
    x = 2,226,005.91

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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.