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Finding the Third Proportional to 1,930,312 and 4,117,114

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Solution

The third proportional to 1,930,312 and 4,117,114 is: 8,781,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,312 : 4,117,114 = 4,117,114 : x
  2. Step 2: Convert to fraction form
    1,930,312/4,117,114 = 4,117,114/x
  3. Step 3: Cross multiply
    1,930,312x = 4,117,114 × 4,117,114
  4. Step 4: Simplify right side
    1,930,312x = 16,950,627,688,996
  5. Step 5: Solve for x
    x = 16,950,627,688,996/1,930,312
  6. Step 6: Final answer
    x = 8,781,289.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.