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Finding the Third Proportional to 314,875,727 and 683,274,178

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Solution

The third proportional to 314,875,727 and 683,274,178 is: 1,482,691,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,875,727 : 683,274,178 = 683,274,178 : x
  2. Step 2: Convert to fraction form
    314,875,727/683,274,178 = 683,274,178/x
  3. Step 3: Cross multiply
    314,875,727x = 683,274,178 × 683,274,178
  4. Step 4: Simplify right side
    314,875,727x = 466,863,602,321,575,680
  5. Step 5: Solve for x
    x = 466,863,602,321,575,680/314,875,727
  6. Step 6: Final answer
    x = 1,482,691,621.77

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