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Finding the Third Proportional to 415,268,580 and 896,195,436

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Solution

The third proportional to 415,268,580 and 896,195,436 is: 1,934,088,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,268,580 : 896,195,436 = 896,195,436 : x
  2. Step 2: Convert to fraction form
    415,268,580/896,195,436 = 896,195,436/x
  3. Step 3: Cross multiply
    415,268,580x = 896,195,436 × 896,195,436
  4. Step 4: Simplify right side
    415,268,580x = 803,166,259,507,230,080
  5. Step 5: Solve for x
    x = 803,166,259,507,230,080/415,268,580
  6. Step 6: Final answer
    x = 1,934,088,679.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.