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Finding the Third Proportional to 683,511 and 1,495,690.50

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Solution

The third proportional to 683,511 and 1,495,690.50 is: 3,272,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,511 : 1,495,690.50 = 1,495,690.50 : x
  2. Step 2: Convert to fraction form
    683,511/1,495,690.50 = 1,495,690.50/x
  3. Step 3: Cross multiply
    683,511x = 1,495,690.50 × 1,495,690.50
  4. Step 4: Simplify right side
    683,511x = 2,237,090,071,790.25
  5. Step 5: Solve for x
    x = 2,237,090,071,790.25/683,511
  6. Step 6: Final answer
    x = 3,272,939.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.