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Finding the Third Proportional to 721,220,522 and 1,077,585,168

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Solution

The third proportional to 721,220,522 and 1,077,585,168 is: 1,610,034,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,220,522 : 1,077,585,168 = 1,077,585,168 : x
  2. Step 2: Convert to fraction form
    721,220,522/1,077,585,168 = 1,077,585,168/x
  3. Step 3: Cross multiply
    721,220,522x = 1,077,585,168 × 1,077,585,168
  4. Step 4: Simplify right side
    721,220,522x = 1,161,189,794,293,588,224
  5. Step 5: Solve for x
    x = 1,161,189,794,293,588,224/721,220,522
  6. Step 6: Final answer
    x = 1,610,034,322.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.