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Finding the Third Proportional to 822,312 and 1,981,044

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Solution

The third proportional to 822,312 and 1,981,044 is: 4,772,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,312 : 1,981,044 = 1,981,044 : x
  2. Step 2: Convert to fraction form
    822,312/1,981,044 = 1,981,044/x
  3. Step 3: Cross multiply
    822,312x = 1,981,044 × 1,981,044
  4. Step 4: Simplify right side
    822,312x = 3,924,535,329,936
  5. Step 5: Solve for x
    x = 3,924,535,329,936/822,312
  6. Step 6: Final answer
    x = 4,772,562.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.