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Finding the Third Proportional to 546,475,458 and 799,217,895

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Solution

The third proportional to 546,475,458 and 799,217,895 is: 1,168,852,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,475,458 : 799,217,895 = 799,217,895 : x
  2. Step 2: Convert to fraction form
    546,475,458/799,217,895 = 799,217,895/x
  3. Step 3: Cross multiply
    546,475,458x = 799,217,895 × 799,217,895
  4. Step 4: Simplify right side
    546,475,458x = 638,749,243,688,231,040
  5. Step 5: Solve for x
    x = 638,749,243,688,231,040/546,475,458
  6. Step 6: Final answer
    x = 1,168,852,570.30

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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.