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Finding the Third Proportional to 475,947 and 1,037,106

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Solution

The third proportional to 475,947 and 1,037,106 is: 2,259,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,947 : 1,037,106 = 1,037,106 : x
  2. Step 2: Convert to fraction form
    475,947/1,037,106 = 1,037,106/x
  3. Step 3: Cross multiply
    475,947x = 1,037,106 × 1,037,106
  4. Step 4: Simplify right side
    475,947x = 1,075,588,855,236
  5. Step 5: Solve for x
    x = 1,075,588,855,236/475,947
  6. Step 6: Final answer
    x = 2,259,892.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.