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Finding the Third Proportional to 1,657,201 and 2,559,065

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Solution

The third proportional to 1,657,201 and 2,559,065 is: 3,951,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,201 : 2,559,065 = 2,559,065 : x
  2. Step 2: Convert to fraction form
    1,657,201/2,559,065 = 2,559,065/x
  3. Step 3: Cross multiply
    1,657,201x = 2,559,065 × 2,559,065
  4. Step 4: Simplify right side
    1,657,201x = 6,548,813,674,225
  5. Step 5: Solve for x
    x = 6,548,813,674,225/1,657,201
  6. Step 6: Final answer
    x = 3,951,731.67

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Why These Related Problems?

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