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Finding the Third Proportional to 929,099 and 1,357,786

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Solution

The third proportional to 929,099 and 1,357,786 is: 1,984,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,099 : 1,357,786 = 1,357,786 : x
  2. Step 2: Convert to fraction form
    929,099/1,357,786 = 1,357,786/x
  3. Step 3: Cross multiply
    929,099x = 1,357,786 × 1,357,786
  4. Step 4: Simplify right side
    929,099x = 1,843,582,821,796
  5. Step 5: Solve for x
    x = 1,843,582,821,796/929,099
  6. Step 6: Final answer
    x = 1,984,269.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.