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Finding the Third Proportional to 970,985 and 1,486,046

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Solution

The third proportional to 970,985 and 1,486,046 is: 2,274,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,985 : 1,486,046 = 1,486,046 : x
  2. Step 2: Convert to fraction form
    970,985/1,486,046 = 1,486,046/x
  3. Step 3: Cross multiply
    970,985x = 1,486,046 × 1,486,046
  4. Step 4: Simplify right side
    970,985x = 2,208,332,714,116
  5. Step 5: Solve for x
    x = 2,208,332,714,116/970,985
  6. Step 6: Final answer
    x = 2,274,322.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.