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Finding the Third Proportional to 460,784.50 and 1,010,143

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Solution

The third proportional to 460,784.50 and 1,010,143 is: 2,214,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,784.50 : 1,010,143 = 1,010,143 : x
  2. Step 2: Convert to fraction form
    460,784.50/1,010,143 = 1,010,143/x
  3. Step 3: Cross multiply
    460,784.50x = 1,010,143 × 1,010,143
  4. Step 4: Simplify right side
    460,784.50x = 1,020,388,880,449
  5. Step 5: Solve for x
    x = 1,020,388,880,449/460,784.50
  6. Step 6: Final answer
    x = 2,214,460.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.