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Finding the Third Proportional to 460,224 and 1,075,776

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Solution

The third proportional to 460,224 and 1,075,776 is: 2,514,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,224 : 1,075,776 = 1,075,776 : x
  2. Step 2: Convert to fraction form
    460,224/1,075,776 = 1,075,776/x
  3. Step 3: Cross multiply
    460,224x = 1,075,776 × 1,075,776
  4. Step 4: Simplify right side
    460,224x = 1,157,294,002,176
  5. Step 5: Solve for x
    x = 1,157,294,002,176/460,224
  6. Step 6: Final answer
    x = 2,514,632.01

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.