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Finding the Third Proportional to 1,737,128.25 and 2,506,038.75

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Solution

The third proportional to 1,737,128.25 and 2,506,038.75 is: 3,615,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,128.25 : 2,506,038.75 = 2,506,038.75 : x
  2. Step 2: Convert to fraction form
    1,737,128.25/2,506,038.75 = 2,506,038.75/x
  3. Step 3: Cross multiply
    1,737,128.25x = 2,506,038.75 × 2,506,038.75
  4. Step 4: Simplify right side
    1,737,128.25x = 6,280,230,216,501.56
  5. Step 5: Solve for x
    x = 6,280,230,216,501.56/1,737,128.25
  6. Step 6: Final answer
    x = 3,615,294.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.