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Finding the Third Proportional to 602,218,188 and 920,636,214

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Solution

The third proportional to 602,218,188 and 920,636,214 is: 1,407,415,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,218,188 : 920,636,214 = 920,636,214 : x
  2. Step 2: Convert to fraction form
    602,218,188/920,636,214 = 920,636,214/x
  3. Step 3: Cross multiply
    602,218,188x = 920,636,214 × 920,636,214
  4. Step 4: Simplify right side
    602,218,188x = 847,571,038,528,253,824
  5. Step 5: Solve for x
    x = 847,571,038,528,253,824/602,218,188
  6. Step 6: Final answer
    x = 1,407,415,211.66

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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.