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Finding the Third Proportional to 829,305 and 1,249,799.63

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Solution

The third proportional to 829,305 and 1,249,799.63 is: 1,883,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,305 : 1,249,799.63 = 1,249,799.63 : x
  2. Step 2: Convert to fraction form
    829,305/1,249,799.63 = 1,249,799.63/x
  3. Step 3: Cross multiply
    829,305x = 1,249,799.63 × 1,249,799.63
  4. Step 4: Simplify right side
    829,305x = 1,561,999,102,650.14
  5. Step 5: Solve for x
    x = 1,561,999,102,650.14/829,305
  6. Step 6: Final answer
    x = 1,883,503.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.