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Finding the Third Proportional to 460,164 and 988,637.50

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Solution

The third proportional to 460,164 and 988,637.50 is: 2,124,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,164 : 988,637.50 = 988,637.50 : x
  2. Step 2: Convert to fraction form
    460,164/988,637.50 = 988,637.50/x
  3. Step 3: Cross multiply
    460,164x = 988,637.50 × 988,637.50
  4. Step 4: Simplify right side
    460,164x = 977,404,106,406.25
  5. Step 5: Solve for x
    x = 977,404,106,406.25/460,164
  6. Step 6: Final answer
    x = 2,124,034.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.