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Finding the Third Proportional to 774,084 and 1,138,362

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Solution

The third proportional to 774,084 and 1,138,362 is: 1,674,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,084 : 1,138,362 = 1,138,362 : x
  2. Step 2: Convert to fraction form
    774,084/1,138,362 = 1,138,362/x
  3. Step 3: Cross multiply
    774,084x = 1,138,362 × 1,138,362
  4. Step 4: Simplify right side
    774,084x = 1,295,868,043,044
  5. Step 5: Solve for x
    x = 1,295,868,043,044/774,084
  6. Step 6: Final answer
    x = 1,674,066.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.