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Finding the Third Proportional to 682,323,050 and 997,894,683

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Solution

The third proportional to 682,323,050 and 997,894,683 is: 1,459,416,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,323,050 : 997,894,683 = 997,894,683 : x
  2. Step 2: Convert to fraction form
    682,323,050/997,894,683 = 997,894,683/x
  3. Step 3: Cross multiply
    682,323,050x = 997,894,683 × 997,894,683
  4. Step 4: Simplify right side
    682,323,050x = 995,793,798,359,670,528
  5. Step 5: Solve for x
    x = 995,793,798,359,670,528/682,323,050
  6. Step 6: Final answer
    x = 1,459,416,911.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.