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Finding the Third Proportional to 492,570,153 and 1,070,877,267

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Solution

The third proportional to 492,570,153 and 1,070,877,267 is: 2,328,151,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,570,153 : 1,070,877,267 = 1,070,877,267 : x
  2. Step 2: Convert to fraction form
    492,570,153/1,070,877,267 = 1,070,877,267/x
  3. Step 3: Cross multiply
    492,570,153x = 1,070,877,267 × 1,070,877,267
  4. Step 4: Simplify right side
    492,570,153x = 1,146,778,120,977,389,312
  5. Step 5: Solve for x
    x = 1,146,778,120,977,389,312/492,570,153
  6. Step 6: Final answer
    x = 2,328,151,866.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.