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Finding the Third Proportional to 374,808 and 822,537

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Solution

The third proportional to 374,808 and 822,537 is: 1,805,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,808 : 822,537 = 822,537 : x
  2. Step 2: Convert to fraction form
    374,808/822,537 = 822,537/x
  3. Step 3: Cross multiply
    374,808x = 822,537 × 822,537
  4. Step 4: Simplify right side
    374,808x = 676,567,116,369
  5. Step 5: Solve for x
    x = 676,567,116,369/374,808
  6. Step 6: Final answer
    x = 1,805,103.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.