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Finding the Third Proportional to 546,475,444 and 799,217,870

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Solution

The third proportional to 546,475,444 and 799,217,870 is: 1,168,852,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,475,444 : 799,217,870 = 799,217,870 : x
  2. Step 2: Convert to fraction form
    546,475,444/799,217,870 = 799,217,870/x
  3. Step 3: Cross multiply
    546,475,444x = 799,217,870 × 799,217,870
  4. Step 4: Simplify right side
    546,475,444x = 638,749,203,727,336,960
  5. Step 5: Solve for x
    x = 638,749,203,727,336,960/546,475,444
  6. Step 6: Final answer
    x = 1,168,852,527.12

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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.