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Finding the Third Proportional to 480,185 and 1,030,354

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Solution

The third proportional to 480,185 and 1,030,354 is: 2,210,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,185 : 1,030,354 = 1,030,354 : x
  2. Step 2: Convert to fraction form
    480,185/1,030,354 = 1,030,354/x
  3. Step 3: Cross multiply
    480,185x = 1,030,354 × 1,030,354
  4. Step 4: Simplify right side
    480,185x = 1,061,629,365,316
  5. Step 5: Solve for x
    x = 1,061,629,365,316/480,185
  6. Step 6: Final answer
    x = 2,210,875.74

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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.