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Finding the Third Proportional to 1,075,424.50 and 1,650,734.50

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Solution

The third proportional to 1,075,424.50 and 1,650,734.50 is: 2,533,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,424.50 : 1,650,734.50 = 1,650,734.50 : x
  2. Step 2: Convert to fraction form
    1,075,424.50/1,650,734.50 = 1,650,734.50/x
  3. Step 3: Cross multiply
    1,075,424.50x = 1,650,734.50 × 1,650,734.50
  4. Step 4: Simplify right side
    1,075,424.50x = 2,724,924,389,490.25
  5. Step 5: Solve for x
    x = 2,724,924,389,490.25/1,075,424.50
  6. Step 6: Final answer
    x = 2,533,812.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.