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Finding the Third Proportional to 971,258 and 1,470,411

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Solution

The third proportional to 971,258 and 1,470,411 is: 2,226,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,258 : 1,470,411 = 1,470,411 : x
  2. Step 2: Convert to fraction form
    971,258/1,470,411 = 1,470,411/x
  3. Step 3: Cross multiply
    971,258x = 1,470,411 × 1,470,411
  4. Step 4: Simplify right side
    971,258x = 2,162,108,508,921
  5. Step 5: Solve for x
    x = 2,162,108,508,921/971,258
  6. Step 6: Final answer
    x = 2,226,090.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.