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Finding the Third Proportional to 301,873,809 and 652,216,610

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Solution

The third proportional to 301,873,809 and 652,216,610 is: 1,409,153,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,873,809 : 652,216,610 = 652,216,610 : x
  2. Step 2: Convert to fraction form
    301,873,809/652,216,610 = 652,216,610/x
  3. Step 3: Cross multiply
    301,873,809x = 652,216,610 × 652,216,610
  4. Step 4: Simplify right side
    301,873,809x = 425,386,506,359,892,096
  5. Step 5: Solve for x
    x = 425,386,506,359,892,096/301,873,809
  6. Step 6: Final answer
    x = 1,409,153,406.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.