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Finding the Third Proportional to 401,882,254 and 865,343,388

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Solution

The third proportional to 401,882,254 and 865,343,388 is: 1,863,280,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,882,254 : 865,343,388 = 865,343,388 : x
  2. Step 2: Convert to fraction form
    401,882,254/865,343,388 = 865,343,388/x
  3. Step 3: Cross multiply
    401,882,254x = 865,343,388 × 865,343,388
  4. Step 4: Simplify right side
    401,882,254x = 748,819,179,155,318,528
  5. Step 5: Solve for x
    x = 748,819,179,155,318,528/401,882,254
  6. Step 6: Final answer
    x = 1,863,280,032.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.