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Finding the Third Proportional to 492,583,464 and 1,070,903,808

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Solution

The third proportional to 492,583,464 and 1,070,903,808 is: 2,328,204,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,583,464 : 1,070,903,808 = 1,070,903,808 : x
  2. Step 2: Convert to fraction form
    492,583,464/1,070,903,808 = 1,070,903,808/x
  3. Step 3: Cross multiply
    492,583,464x = 1,070,903,808 × 1,070,903,808
  4. Step 4: Simplify right side
    492,583,464x = 1,146,834,965,988,900,864
  5. Step 5: Solve for x
    x = 1,146,834,965,988,900,864/492,583,464
  6. Step 6: Final answer
    x = 2,328,204,354.80

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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.