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Finding the Third Proportional to 417,719,324 and 904,862,776

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Solution

The third proportional to 417,719,324 and 904,862,776 is: 1,960,111,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,719,324 : 904,862,776 = 904,862,776 : x
  2. Step 2: Convert to fraction form
    417,719,324/904,862,776 = 904,862,776/x
  3. Step 3: Cross multiply
    417,719,324x = 904,862,776 × 904,862,776
  4. Step 4: Simplify right side
    417,719,324x = 818,776,643,390,426,112
  5. Step 5: Solve for x
    x = 818,776,643,390,426,112/417,719,324
  6. Step 6: Final answer
    x = 1,960,111,961.18

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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.