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Finding the Third Proportional to 1,739,941.50 and 3,688,779

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Solution

The third proportional to 1,739,941.50 and 3,688,779 is: 7,820,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,941.50 : 3,688,779 = 3,688,779 : x
  2. Step 2: Convert to fraction form
    1,739,941.50/3,688,779 = 3,688,779/x
  3. Step 3: Cross multiply
    1,739,941.50x = 3,688,779 × 3,688,779
  4. Step 4: Simplify right side
    1,739,941.50x = 13,607,090,510,841
  5. Step 5: Solve for x
    x = 13,607,090,510,841/1,739,941.50
  6. Step 6: Final answer
    x = 7,820,429.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.