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Finding the Third Proportional to 334,127,484 and 717,611,184

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Solution

The third proportional to 334,127,484 and 717,611,184 is: 1,541,225,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,127,484 : 717,611,184 = 717,611,184 : x
  2. Step 2: Convert to fraction form
    334,127,484/717,611,184 = 717,611,184/x
  3. Step 3: Cross multiply
    334,127,484x = 717,611,184 × 717,611,184
  4. Step 4: Simplify right side
    334,127,484x = 514,965,811,401,881,856
  5. Step 5: Solve for x
    x = 514,965,811,401,881,856/334,127,484
  6. Step 6: Final answer
    x = 1,541,225,538.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.