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Finding the Third Proportional to 822,446 and 1,290,470

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Solution

The third proportional to 822,446 and 1,290,470 is: 2,024,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,446 : 1,290,470 = 1,290,470 : x
  2. Step 2: Convert to fraction form
    822,446/1,290,470 = 1,290,470/x
  3. Step 3: Cross multiply
    822,446x = 1,290,470 × 1,290,470
  4. Step 4: Simplify right side
    822,446x = 1,665,312,820,900
  5. Step 5: Solve for x
    x = 1,665,312,820,900/822,446
  6. Step 6: Final answer
    x = 2,024,829.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.