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Finding the Third Proportional to 970,901 and 1,507,473

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Solution

The third proportional to 970,901 and 1,507,473 is: 2,340,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,901 : 1,507,473 = 1,507,473 : x
  2. Step 2: Convert to fraction form
    970,901/1,507,473 = 1,507,473/x
  3. Step 3: Cross multiply
    970,901x = 1,507,473 × 1,507,473
  4. Step 4: Simplify right side
    970,901x = 2,272,474,845,729
  5. Step 5: Solve for x
    x = 2,272,474,845,729/970,901
  6. Step 6: Final answer
    x = 2,340,583.48

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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.