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Finding the Third Proportional to 456,921,660 and 696,095,873.25

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Solution

The third proportional to 456,921,660 and 696,095,873.25 is: 1,060,465,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,921,660 : 696,095,873.25 = 696,095,873.25 : x
  2. Step 2: Convert to fraction form
    456,921,660/696,095,873.25 = 696,095,873.25/x
  3. Step 3: Cross multiply
    456,921,660x = 696,095,873.25 × 696,095,873.25
  4. Step 4: Simplify right side
    456,921,660x = 484,549,464,755,680,064
  5. Step 5: Solve for x
    x = 484,549,464,755,680,064/456,921,660
  6. Step 6: Final answer
    x = 1,060,465,080.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.