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Finding the Third Proportional to 1,075,440 and 1,650,758

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Solution

The third proportional to 1,075,440 and 1,650,758 is: 2,533,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,440 : 1,650,758 = 1,650,758 : x
  2. Step 2: Convert to fraction form
    1,075,440/1,650,758 = 1,650,758/x
  3. Step 3: Cross multiply
    1,075,440x = 1,650,758 × 1,650,758
  4. Step 4: Simplify right side
    1,075,440x = 2,725,001,974,564
  5. Step 5: Solve for x
    x = 2,725,001,974,564/1,075,440
  6. Step 6: Final answer
    x = 2,533,848.45

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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.