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Finding the Third Proportional to 1,755,868.40 and 3,830,811.35

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Solution

The third proportional to 1,755,868.40 and 3,830,811.35 is: 8,357,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,868.40 : 3,830,811.35 = 3,830,811.35 : x
  2. Step 2: Convert to fraction form
    1,755,868.40/3,830,811.35 = 3,830,811.35/x
  3. Step 3: Cross multiply
    1,755,868.40x = 3,830,811.35 × 3,830,811.35
  4. Step 4: Simplify right side
    1,755,868.40x = 14,675,115,600,039.66
  5. Step 5: Solve for x
    x = 14,675,115,600,039.66/1,755,868.40
  6. Step 6: Final answer
    x = 8,357,753.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.