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Finding the Third Proportional to 314,875,746 and 683,274,222

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Solution

The third proportional to 314,875,746 and 683,274,222 is: 1,482,691,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,875,746 : 683,274,222 = 683,274,222 : x
  2. Step 2: Convert to fraction form
    314,875,746/683,274,222 = 683,274,222/x
  3. Step 3: Cross multiply
    314,875,746x = 683,274,222 × 683,274,222
  4. Step 4: Simplify right side
    314,875,746x = 466,863,662,449,705,280
  5. Step 5: Solve for x
    x = 466,863,662,449,705,280/314,875,746
  6. Step 6: Final answer
    x = 1,482,691,723.26

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Why These Related Problems?

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