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Finding the Third Proportional to 702,536 and 1,657,878

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Solution

The third proportional to 702,536 and 1,657,878 is: 3,912,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,536 : 1,657,878 = 1,657,878 : x
  2. Step 2: Convert to fraction form
    702,536/1,657,878 = 1,657,878/x
  3. Step 3: Cross multiply
    702,536x = 1,657,878 × 1,657,878
  4. Step 4: Simplify right side
    702,536x = 2,748,559,462,884
  5. Step 5: Solve for x
    x = 2,748,559,462,884/702,536
  6. Step 6: Final answer
    x = 3,912,339.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.