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Finding the Third Proportional to 1,658,142 and 3,569,964

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Solution

The third proportional to 1,658,142 and 3,569,964 is: 7,686,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,142 : 3,569,964 = 3,569,964 : x
  2. Step 2: Convert to fraction form
    1,658,142/3,569,964 = 3,569,964/x
  3. Step 3: Cross multiply
    1,658,142x = 3,569,964 × 3,569,964
  4. Step 4: Simplify right side
    1,658,142x = 12,744,642,961,296
  5. Step 5: Solve for x
    x = 12,744,642,961,296/1,658,142
  6. Step 6: Final answer
    x = 7,686,098.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.