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Finding the Third Proportional to 1,359,085.50 and 2,038,513.50

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Solution

The third proportional to 1,359,085.50 and 2,038,513.50 is: 3,057,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,085.50 : 2,038,513.50 = 2,038,513.50 : x
  2. Step 2: Convert to fraction form
    1,359,085.50/2,038,513.50 = 2,038,513.50/x
  3. Step 3: Cross multiply
    1,359,085.50x = 2,038,513.50 × 2,038,513.50
  4. Step 4: Simplify right side
    1,359,085.50x = 4,155,537,289,682.25
  5. Step 5: Solve for x
    x = 4,155,537,289,682.25/1,359,085.50
  6. Step 6: Final answer
    x = 3,057,598.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.