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Finding the Third Proportional to 971,066 and 1,470,095

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Solution

The third proportional to 971,066 and 1,470,095 is: 2,225,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,066 : 1,470,095 = 1,470,095 : x
  2. Step 2: Convert to fraction form
    971,066/1,470,095 = 1,470,095/x
  3. Step 3: Cross multiply
    971,066x = 1,470,095 × 1,470,095
  4. Step 4: Simplify right side
    971,066x = 2,161,179,309,025
  5. Step 5: Solve for x
    x = 2,161,179,309,025/971,066
  6. Step 6: Final answer
    x = 2,225,574.07

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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.