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Finding the Third Proportional to 703,042 and 1,658,929

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Solution

The third proportional to 703,042 and 1,658,929 is: 3,914,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,042 : 1,658,929 = 1,658,929 : x
  2. Step 2: Convert to fraction form
    703,042/1,658,929 = 1,658,929/x
  3. Step 3: Cross multiply
    703,042x = 1,658,929 × 1,658,929
  4. Step 4: Simplify right side
    703,042x = 2,752,045,427,041
  5. Step 5: Solve for x
    x = 2,752,045,427,041/703,042
  6. Step 6: Final answer
    x = 3,914,482.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.