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Finding the Third Proportional to 1,097,523 and 1,638,022.50

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Solution

The third proportional to 1,097,523 and 1,638,022.50 is: 2,444,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,523 : 1,638,022.50 = 1,638,022.50 : x
  2. Step 2: Convert to fraction form
    1,097,523/1,638,022.50 = 1,638,022.50/x
  3. Step 3: Cross multiply
    1,097,523x = 1,638,022.50 × 1,638,022.50
  4. Step 4: Simplify right side
    1,097,523x = 2,683,117,710,506.25
  5. Step 5: Solve for x
    x = 2,683,117,710,506.25/1,097,523
  6. Step 6: Final answer
    x = 2,444,702.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.