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Finding the Third Proportional to 1,877,468.63 and 3,854,466

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Solution

The third proportional to 1,877,468.63 and 3,854,466 is: 7,913,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,468.63 : 3,854,466 = 3,854,466 : x
  2. Step 2: Convert to fraction form
    1,877,468.63/3,854,466 = 3,854,466/x
  3. Step 3: Cross multiply
    1,877,468.63x = 3,854,466 × 3,854,466
  4. Step 4: Simplify right side
    1,877,468.63x = 14,856,908,145,156
  5. Step 5: Solve for x
    x = 14,856,908,145,156/1,877,468.63
  6. Step 6: Final answer
    x = 7,913,265.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.