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Finding the Third Proportional to 1,909,122 and 4,117,124

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Solution

The third proportional to 1,909,122 and 4,117,124 is: 8,878,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,122 : 4,117,124 = 4,117,124 : x
  2. Step 2: Convert to fraction form
    1,909,122/4,117,124 = 4,117,124/x
  3. Step 3: Cross multiply
    1,909,122x = 4,117,124 × 4,117,124
  4. Step 4: Simplify right side
    1,909,122x = 16,950,710,031,376
  5. Step 5: Solve for x
    x = 16,950,710,031,376/1,909,122
  6. Step 6: Final answer
    x = 8,878,798.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.