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Finding the Third Proportional to 920,509 and 1,904,929

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Solution

The third proportional to 920,509 and 1,904,929 is: 3,942,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,509 : 1,904,929 = 1,904,929 : x
  2. Step 2: Convert to fraction form
    920,509/1,904,929 = 1,904,929/x
  3. Step 3: Cross multiply
    920,509x = 1,904,929 × 1,904,929
  4. Step 4: Simplify right side
    920,509x = 3,628,754,495,041
  5. Step 5: Solve for x
    x = 3,628,754,495,041/920,509
  6. Step 6: Final answer
    x = 3,942,117.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.