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Finding the Third Proportional to 602,220,735 and 920,644,240

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Solution

The third proportional to 602,220,735 and 920,644,240 is: 1,407,433,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,220,735 : 920,644,240 = 920,644,240 : x
  2. Step 2: Convert to fraction form
    602,220,735/920,644,240 = 920,644,240/x
  3. Step 3: Cross multiply
    602,220,735x = 920,644,240 × 920,644,240
  4. Step 4: Simplify right side
    602,220,735x = 847,585,816,645,177,600
  5. Step 5: Solve for x
    x = 847,585,816,645,177,600/602,220,735
  6. Step 6: Final answer
    x = 1,407,433,798.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.