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Finding the Third Proportional to 906,916.50 and 1,977,129

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Solution

The third proportional to 906,916.50 and 1,977,129 is: 4,310,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,916.50 : 1,977,129 = 1,977,129 : x
  2. Step 2: Convert to fraction form
    906,916.50/1,977,129 = 1,977,129/x
  3. Step 3: Cross multiply
    906,916.50x = 1,977,129 × 1,977,129
  4. Step 4: Simplify right side
    906,916.50x = 3,909,039,082,641
  5. Step 5: Solve for x
    x = 3,909,039,082,641/906,916.50
  6. Step 6: Final answer
    x = 4,310,252.47

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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.