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Finding the Third Proportional to 684,307,616 and 988,706,544

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Solution

The third proportional to 684,307,616 and 988,706,544 is: 1,428,510,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,307,616 : 988,706,544 = 988,706,544 : x
  2. Step 2: Convert to fraction form
    684,307,616/988,706,544 = 988,706,544/x
  3. Step 3: Cross multiply
    684,307,616x = 988,706,544 × 988,706,544
  4. Step 4: Simplify right side
    684,307,616x = 977,540,630,148,423,936
  5. Step 5: Solve for x
    x = 977,540,630,148,423,936/684,307,616
  6. Step 6: Final answer
    x = 1,428,510,522.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.