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Finding the Third Proportional to 673,077,865 and 1,006,926,194

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Solution

The third proportional to 673,077,865 and 1,006,926,194 is: 1,506,364,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,077,865 : 1,006,926,194 = 1,006,926,194 : x
  2. Step 2: Convert to fraction form
    673,077,865/1,006,926,194 = 1,006,926,194/x
  3. Step 3: Cross multiply
    673,077,865x = 1,006,926,194 × 1,006,926,194
  4. Step 4: Simplify right side
    673,077,865x = 1,013,900,360,163,325,696
  5. Step 5: Solve for x
    x = 1,013,900,360,163,325,696/673,077,865
  6. Step 6: Final answer
    x = 1,506,364,141.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.