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Finding the Third Proportional to 931,938 and 1,473,010.50

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Solution

The third proportional to 931,938 and 1,473,010.50 is: 2,328,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,938 : 1,473,010.50 = 1,473,010.50 : x
  2. Step 2: Convert to fraction form
    931,938/1,473,010.50 = 1,473,010.50/x
  3. Step 3: Cross multiply
    931,938x = 1,473,010.50 × 1,473,010.50
  4. Step 4: Simplify right side
    931,938x = 2,169,759,933,110.25
  5. Step 5: Solve for x
    x = 2,169,759,933,110.25/931,938
  6. Step 6: Final answer
    x = 2,328,223.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.