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Finding the Third Proportional to 805,972 and 1,695,024

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Solution

The third proportional to 805,972 and 1,695,024 is: 3,564,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,972 : 1,695,024 = 1,695,024 : x
  2. Step 2: Convert to fraction form
    805,972/1,695,024 = 1,695,024/x
  3. Step 3: Cross multiply
    805,972x = 1,695,024 × 1,695,024
  4. Step 4: Simplify right side
    805,972x = 2,873,106,360,576
  5. Step 5: Solve for x
    x = 2,873,106,360,576/805,972
  6. Step 6: Final answer
    x = 3,564,771.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.