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Finding the Third Proportional to 480,442 and 1,112,095

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Solution

The third proportional to 480,442 and 1,112,095 is: 2,574,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,442 : 1,112,095 = 1,112,095 : x
  2. Step 2: Convert to fraction form
    480,442/1,112,095 = 1,112,095/x
  3. Step 3: Cross multiply
    480,442x = 1,112,095 × 1,112,095
  4. Step 4: Simplify right side
    480,442x = 1,236,755,289,025
  5. Step 5: Solve for x
    x = 1,236,755,289,025/480,442
  6. Step 6: Final answer
    x = 2,574,203.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.