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Finding the Third Proportional to 534,272,592 and 805,613,362

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Solution

The third proportional to 534,272,592 and 805,613,362 is: 1,214,759,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,272,592 : 805,613,362 = 805,613,362 : x
  2. Step 2: Convert to fraction form
    534,272,592/805,613,362 = 805,613,362/x
  3. Step 3: Cross multiply
    534,272,592x = 805,613,362 × 805,613,362
  4. Step 4: Simplify right side
    534,272,592x = 649,012,889,032,943,104
  5. Step 5: Solve for x
    x = 649,012,889,032,943,104/534,272,592
  6. Step 6: Final answer
    x = 1,214,759,841.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.