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Finding the Third Proportional to 546,475,450 and 799,217,878

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Solution

The third proportional to 546,475,450 and 799,217,878 is: 1,168,852,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,475,450 : 799,217,878 = 799,217,878 : x
  2. Step 2: Convert to fraction form
    546,475,450/799,217,878 = 799,217,878/x
  3. Step 3: Cross multiply
    546,475,450x = 799,217,878 × 799,217,878
  4. Step 4: Simplify right side
    546,475,450x = 638,749,216,514,822,912
  5. Step 5: Solve for x
    x = 638,749,216,514,822,912/546,475,450
  6. Step 6: Final answer
    x = 1,168,852,537.68

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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.