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Finding the Third Proportional to 567,917,268 and 872,390,457

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Solution

The third proportional to 567,917,268 and 872,390,457 is: 1,340,098,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,917,268 : 872,390,457 = 872,390,457 : x
  2. Step 2: Convert to fraction form
    567,917,268/872,390,457 = 872,390,457/x
  3. Step 3: Cross multiply
    567,917,268x = 872,390,457 × 872,390,457
  4. Step 4: Simplify right side
    567,917,268x = 761,065,109,464,668,800
  5. Step 5: Solve for x
    x = 761,065,109,464,668,800/567,917,268
  6. Step 6: Final answer
    x = 1,340,098,553.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.