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Finding the Third Proportional to 822,681 and 1,834,410

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Solution

The third proportional to 822,681 and 1,834,410 is: 4,090,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,681 : 1,834,410 = 1,834,410 : x
  2. Step 2: Convert to fraction form
    822,681/1,834,410 = 1,834,410/x
  3. Step 3: Cross multiply
    822,681x = 1,834,410 × 1,834,410
  4. Step 4: Simplify right side
    822,681x = 3,365,060,048,100
  5. Step 5: Solve for x
    x = 3,365,060,048,100/822,681
  6. Step 6: Final answer
    x = 4,090,358.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.