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Finding the Third Proportional to 931,312 and 1,424,035.50

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Solution

The third proportional to 931,312 and 1,424,035.50 is: 2,177,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,312 : 1,424,035.50 = 1,424,035.50 : x
  2. Step 2: Convert to fraction form
    931,312/1,424,035.50 = 1,424,035.50/x
  3. Step 3: Cross multiply
    931,312x = 1,424,035.50 × 1,424,035.50
  4. Step 4: Simplify right side
    931,312x = 2,027,877,105,260.25
  5. Step 5: Solve for x
    x = 2,027,877,105,260.25/931,312
  6. Step 6: Final answer
    x = 2,177,441.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.