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Finding the Third Proportional to 475,130 and 1,024,527

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Solution

The third proportional to 475,130 and 1,024,527 is: 2,209,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,130 : 1,024,527 = 1,024,527 : x
  2. Step 2: Convert to fraction form
    475,130/1,024,527 = 1,024,527/x
  3. Step 3: Cross multiply
    475,130x = 1,024,527 × 1,024,527
  4. Step 4: Simplify right side
    475,130x = 1,049,655,573,729
  5. Step 5: Solve for x
    x = 1,049,655,573,729/475,130
  6. Step 6: Final answer
    x = 2,209,196.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.