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Finding the Third Proportional to 446,941.13 and 977,440.50

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Solution

The third proportional to 446,941.13 and 977,440.50 is: 2,137,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,941.13 : 977,440.50 = 977,440.50 : x
  2. Step 2: Convert to fraction form
    446,941.13/977,440.50 = 977,440.50/x
  3. Step 3: Cross multiply
    446,941.13x = 977,440.50 × 977,440.50
  4. Step 4: Simplify right side
    446,941.13x = 955,389,931,040.25
  5. Step 5: Solve for x
    x = 955,389,931,040.25/446,941.13
  6. Step 6: Final answer
    x = 2,137,619.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.