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Finding the Third Proportional to 970,944 and 1,507,536

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Solution

The third proportional to 970,944 and 1,507,536 is: 2,340,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,944 : 1,507,536 = 1,507,536 : x
  2. Step 2: Convert to fraction form
    970,944/1,507,536 = 1,507,536/x
  3. Step 3: Cross multiply
    970,944x = 1,507,536 × 1,507,536
  4. Step 4: Simplify right side
    970,944x = 2,272,664,791,296
  5. Step 5: Solve for x
    x = 2,272,664,791,296/970,944
  6. Step 6: Final answer
    x = 2,340,675.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.