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Finding the Third Proportional to 914,577 and 1,358,599.50

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Solution

The third proportional to 914,577 and 1,358,599.50 is: 2,018,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,577 : 1,358,599.50 = 1,358,599.50 : x
  2. Step 2: Convert to fraction form
    914,577/1,358,599.50 = 1,358,599.50/x
  3. Step 3: Cross multiply
    914,577x = 1,358,599.50 × 1,358,599.50
  4. Step 4: Simplify right side
    914,577x = 1,845,792,601,400.25
  5. Step 5: Solve for x
    x = 1,845,792,601,400.25/914,577
  6. Step 6: Final answer
    x = 2,018,192.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.