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Finding the Third Proportional to 970,904 and 1,507,476

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Solution

The third proportional to 970,904 and 1,507,476 is: 2,340,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,904 : 1,507,476 = 1,507,476 : x
  2. Step 2: Convert to fraction form
    970,904/1,507,476 = 1,507,476/x
  3. Step 3: Cross multiply
    970,904x = 1,507,476 × 1,507,476
  4. Step 4: Simplify right side
    970,904x = 2,272,483,890,576
  5. Step 5: Solve for x
    x = 2,272,483,890,576/970,904
  6. Step 6: Final answer
    x = 2,340,585.57

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Why These Related Problems?

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