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Finding the Third Proportional to 484,232,148 and 770,882,310

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Solution

The third proportional to 484,232,148 and 770,882,310 is: 1,227,220,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,232,148 : 770,882,310 = 770,882,310 : x
  2. Step 2: Convert to fraction form
    484,232,148/770,882,310 = 770,882,310/x
  3. Step 3: Cross multiply
    484,232,148x = 770,882,310 × 770,882,310
  4. Step 4: Simplify right side
    484,232,148x = 594,259,535,870,936,064
  5. Step 5: Solve for x
    x = 594,259,535,870,936,064/484,232,148
  6. Step 6: Final answer
    x = 1,227,220,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.