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Finding the Third Proportional to 477,218.25 and 1,037,269.13

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Solution

The third proportional to 477,218.25 and 1,037,269.13 is: 2,254,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,218.25 : 1,037,269.13 = 1,037,269.13 : x
  2. Step 2: Convert to fraction form
    477,218.25/1,037,269.13 = 1,037,269.13/x
  3. Step 3: Cross multiply
    477,218.25x = 1,037,269.13 × 1,037,269.13
  4. Step 4: Simplify right side
    477,218.25x = 1,075,927,237,678.27
  5. Step 5: Solve for x
    x = 1,075,927,237,678.27/477,218.25
  6. Step 6: Final answer
    x = 2,254,581.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.