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Finding the Third Proportional to 656,185 and 1,012,263

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Solution

The third proportional to 656,185 and 1,012,263 is: 1,561,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,185 : 1,012,263 = 1,012,263 : x
  2. Step 2: Convert to fraction form
    656,185/1,012,263 = 1,012,263/x
  3. Step 3: Cross multiply
    656,185x = 1,012,263 × 1,012,263
  4. Step 4: Simplify right side
    656,185x = 1,024,676,381,169
  5. Step 5: Solve for x
    x = 1,024,676,381,169/656,185
  6. Step 6: Final answer
    x = 1,561,566.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.