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Finding the Third Proportional to 417,719,322 and 904,862,772

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Solution

The third proportional to 417,719,322 and 904,862,772 is: 1,960,111,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,719,322 : 904,862,772 = 904,862,772 : x
  2. Step 2: Convert to fraction form
    417,719,322/904,862,772 = 904,862,772/x
  3. Step 3: Cross multiply
    417,719,322x = 904,862,772 × 904,862,772
  4. Step 4: Simplify right side
    417,719,322x = 818,776,636,151,523,968
  5. Step 5: Solve for x
    x = 818,776,636,151,523,968/417,719,322
  6. Step 6: Final answer
    x = 1,960,111,953.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.