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Finding the Third Proportional to 713,428 and 1,485,904

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Solution

The third proportional to 713,428 and 1,485,904 is: 3,094,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,428 : 1,485,904 = 1,485,904 : x
  2. Step 2: Convert to fraction form
    713,428/1,485,904 = 1,485,904/x
  3. Step 3: Cross multiply
    713,428x = 1,485,904 × 1,485,904
  4. Step 4: Simplify right side
    713,428x = 2,207,910,697,216
  5. Step 5: Solve for x
    x = 2,207,910,697,216/713,428
  6. Step 6: Final answer
    x = 3,094,791.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.