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Finding the Third Proportional to 1,058,203.50 and 1,596,847.50

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Solution

The third proportional to 1,058,203.50 and 1,596,847.50 is: 2,409,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,203.50 : 1,596,847.50 = 1,596,847.50 : x
  2. Step 2: Convert to fraction form
    1,058,203.50/1,596,847.50 = 1,596,847.50/x
  3. Step 3: Cross multiply
    1,058,203.50x = 1,596,847.50 × 1,596,847.50
  4. Step 4: Simplify right side
    1,058,203.50x = 2,549,921,938,256.25
  5. Step 5: Solve for x
    x = 2,549,921,938,256.25/1,058,203.50
  6. Step 6: Final answer
    x = 2,409,670.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.