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Finding the Third Proportional to 522,072 and 1,112,428

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Solution

The third proportional to 522,072 and 1,112,428 is: 2,370,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,072 : 1,112,428 = 1,112,428 : x
  2. Step 2: Convert to fraction form
    522,072/1,112,428 = 1,112,428/x
  3. Step 3: Cross multiply
    522,072x = 1,112,428 × 1,112,428
  4. Step 4: Simplify right side
    522,072x = 1,237,496,055,184
  5. Step 5: Solve for x
    x = 1,237,496,055,184/522,072
  6. Step 6: Final answer
    x = 2,370,355.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.