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Finding the Third Proportional to 453,036,407 and 699,582,788

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Solution

The third proportional to 453,036,407 and 699,582,788 is: 1,080,301,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,036,407 : 699,582,788 = 699,582,788 : x
  2. Step 2: Convert to fraction form
    453,036,407/699,582,788 = 699,582,788/x
  3. Step 3: Cross multiply
    453,036,407x = 699,582,788 × 699,582,788
  4. Step 4: Simplify right side
    453,036,407x = 489,416,077,265,852,928
  5. Step 5: Solve for x
    x = 489,416,077,265,852,928/453,036,407
  6. Step 6: Final answer
    x = 1,080,301,869.13

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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.