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Finding the Third Proportional to 1,709,572.50 and 2,638,374.19

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Solution

The third proportional to 1,709,572.50 and 2,638,374.19 is: 4,071,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,572.50 : 2,638,374.19 = 2,638,374.19 : x
  2. Step 2: Convert to fraction form
    1,709,572.50/2,638,374.19 = 2,638,374.19/x
  3. Step 3: Cross multiply
    1,709,572.50x = 2,638,374.19 × 2,638,374.19
  4. Step 4: Simplify right side
    1,709,572.50x = 6,961,018,353,266.29
  5. Step 5: Solve for x
    x = 6,961,018,353,266.29/1,709,572.50
  6. Step 6: Final answer
    x = 4,071,788.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.