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Finding the Third Proportional to 634,235 and 1,334,869.75

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Solution

The third proportional to 634,235 and 1,334,869.75 is: 2,809,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,235 : 1,334,869.75 = 1,334,869.75 : x
  2. Step 2: Convert to fraction form
    634,235/1,334,869.75 = 1,334,869.75/x
  3. Step 3: Cross multiply
    634,235x = 1,334,869.75 × 1,334,869.75
  4. Step 4: Simplify right side
    634,235x = 1,781,877,249,465.06
  5. Step 5: Solve for x
    x = 1,781,877,249,465.06/634,235
  6. Step 6: Final answer
    x = 2,809,490.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.