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Finding the Third Proportional to 546,475,417 and 799,217,830

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Solution

The third proportional to 546,475,417 and 799,217,830 is: 1,168,852,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,475,417 : 799,217,830 = 799,217,830 : x
  2. Step 2: Convert to fraction form
    546,475,417/799,217,830 = 799,217,830/x
  3. Step 3: Cross multiply
    546,475,417x = 799,217,830 × 799,217,830
  4. Step 4: Simplify right side
    546,475,417x = 638,749,139,789,908,864
  5. Step 5: Solve for x
    x = 638,749,139,789,908,864/546,475,417
  6. Step 6: Final answer
    x = 1,168,852,467.87

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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.