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Finding the Third Proportional to 970,932 and 1,507,516

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Solution

The third proportional to 970,932 and 1,507,516 is: 2,340,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,932 : 1,507,516 = 1,507,516 : x
  2. Step 2: Convert to fraction form
    970,932/1,507,516 = 1,507,516/x
  3. Step 3: Cross multiply
    970,932x = 1,507,516 × 1,507,516
  4. Step 4: Simplify right side
    970,932x = 2,272,604,490,256
  5. Step 5: Solve for x
    x = 2,272,604,490,256/970,932
  6. Step 6: Final answer
    x = 2,340,642.28

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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.