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Finding the Third Proportional to 1,158,210 and 1,760,929.50

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Solution

The third proportional to 1,158,210 and 1,760,929.50 is: 2,677,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,210 : 1,760,929.50 = 1,760,929.50 : x
  2. Step 2: Convert to fraction form
    1,158,210/1,760,929.50 = 1,760,929.50/x
  3. Step 3: Cross multiply
    1,158,210x = 1,760,929.50 × 1,760,929.50
  4. Step 4: Simplify right side
    1,158,210x = 3,100,872,703,970.25
  5. Step 5: Solve for x
    x = 3,100,872,703,970.25/1,158,210
  6. Step 6: Final answer
    x = 2,677,297.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.