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Finding the Third Proportional to 1,583,114.63 and 3,733,436.81

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Solution

The third proportional to 1,583,114.63 and 3,733,436.81 is: 8,804,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,114.63 : 3,733,436.81 = 3,733,436.81 : x
  2. Step 2: Convert to fraction form
    1,583,114.63/3,733,436.81 = 3,733,436.81/x
  3. Step 3: Cross multiply
    1,583,114.63x = 3,733,436.81 × 3,733,436.81
  4. Step 4: Simplify right side
    1,583,114.63x = 13,938,550,432,930.16
  5. Step 5: Solve for x
    x = 13,938,550,432,930.16/1,583,114.63
  6. Step 6: Final answer
    x = 8,804,511.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.