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Finding the Third Proportional to 1,698,123 and 2,569,024.50

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Solution

The third proportional to 1,698,123 and 2,569,024.50 is: 3,886,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,123 : 2,569,024.50 = 2,569,024.50 : x
  2. Step 2: Convert to fraction form
    1,698,123/2,569,024.50 = 2,569,024.50/x
  3. Step 3: Cross multiply
    1,698,123x = 2,569,024.50 × 2,569,024.50
  4. Step 4: Simplify right side
    1,698,123x = 6,599,886,881,600.25
  5. Step 5: Solve for x
    x = 6,599,886,881,600.25/1,698,123
  6. Step 6: Final answer
    x = 3,886,577.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.