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Finding the Third Proportional to 324,121,140 and 711,238,784

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Solution

The third proportional to 324,121,140 and 711,238,784 is: 1,560,714,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,121,140 : 711,238,784 = 711,238,784 : x
  2. Step 2: Convert to fraction form
    324,121,140/711,238,784 = 711,238,784/x
  3. Step 3: Cross multiply
    324,121,140x = 711,238,784 × 711,238,784
  4. Step 4: Simplify right side
    324,121,140x = 505,860,607,865,798,656
  5. Step 5: Solve for x
    x = 505,860,607,865,798,656/324,121,140
  6. Step 6: Final answer
    x = 1,560,714,638.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.