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Finding the Third Proportional to 529,495,926 and 816,574,617

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Solution

The third proportional to 529,495,926 and 816,574,617 is: 1,259,299,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,495,926 : 816,574,617 = 816,574,617 : x
  2. Step 2: Convert to fraction form
    529,495,926/816,574,617 = 816,574,617/x
  3. Step 3: Cross multiply
    529,495,926x = 816,574,617 × 816,574,617
  4. Step 4: Simplify right side
    529,495,926x = 666,794,105,128,696,704
  5. Step 5: Solve for x
    x = 666,794,105,128,696,704/529,495,926
  6. Step 6: Final answer
    x = 1,259,299,783.79

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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.