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Finding the Third Proportional to 634,319.44 and 1,041,330.94

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Solution

The third proportional to 634,319.44 and 1,041,330.94 is: 1,709,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,319.44 : 1,041,330.94 = 1,041,330.94 : x
  2. Step 2: Convert to fraction form
    634,319.44/1,041,330.94 = 1,041,330.94/x
  3. Step 3: Cross multiply
    634,319.44x = 1,041,330.94 × 1,041,330.94
  4. Step 4: Simplify right side
    634,319.44x = 1,084,370,121,394.63
  5. Step 5: Solve for x
    x = 1,084,370,121,394.63/634,319.44
  6. Step 6: Final answer
    x = 1,709,501.64

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.