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Finding the Third Proportional to 374,301,225 and 834,666,246

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Solution

The third proportional to 374,301,225 and 834,666,246 is: 1,861,248,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,301,225 : 834,666,246 = 834,666,246 : x
  2. Step 2: Convert to fraction form
    374,301,225/834,666,246 = 834,666,246/x
  3. Step 3: Cross multiply
    374,301,225x = 834,666,246 × 834,666,246
  4. Step 4: Simplify right side
    374,301,225x = 696,667,742,211,732,480
  5. Step 5: Solve for x
    x = 696,667,742,211,732,480/374,301,225
  6. Step 6: Final answer
    x = 1,861,248,897.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.