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Finding the Third Proportional to 929,026 and 1,357,686

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Solution

The third proportional to 929,026 and 1,357,686 is: 1,984,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,026 : 1,357,686 = 1,357,686 : x
  2. Step 2: Convert to fraction form
    929,026/1,357,686 = 1,357,686/x
  3. Step 3: Cross multiply
    929,026x = 1,357,686 × 1,357,686
  4. Step 4: Simplify right side
    929,026x = 1,843,311,274,596
  5. Step 5: Solve for x
    x = 1,843,311,274,596/929,026
  6. Step 6: Final answer
    x = 1,984,133.14

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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.