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Finding the Third Proportional to 411,708,125 and 904,037,818

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Solution

The third proportional to 411,708,125 and 904,037,818 is: 1,985,106,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,708,125 : 904,037,818 = 904,037,818 : x
  2. Step 2: Convert to fraction form
    411,708,125/904,037,818 = 904,037,818/x
  3. Step 3: Cross multiply
    411,708,125x = 904,037,818 × 904,037,818
  4. Step 4: Simplify right side
    411,708,125x = 817,284,376,374,201,088
  5. Step 5: Solve for x
    x = 817,284,376,374,201,088/411,708,125
  6. Step 6: Final answer
    x = 1,985,106,260.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.