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Finding the Third Proportional to 684,307,682 and 988,706,643

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Solution

The third proportional to 684,307,682 and 988,706,643 is: 1,428,510,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,307,682 : 988,706,643 = 988,706,643 : x
  2. Step 2: Convert to fraction form
    684,307,682/988,706,643 = 988,706,643/x
  3. Step 3: Cross multiply
    684,307,682x = 988,706,643 × 988,706,643
  4. Step 4: Simplify right side
    684,307,682x = 977,540,825,912,329,472
  5. Step 5: Solve for x
    x = 977,540,825,912,329,472/684,307,682
  6. Step 6: Final answer
    x = 1,428,510,670.89

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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.