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Finding the Third Proportional to 970,893 and 1,507,459.50

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Solution

The third proportional to 970,893 and 1,507,459.50 is: 2,340,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,893 : 1,507,459.50 = 1,507,459.50 : x
  2. Step 2: Convert to fraction form
    970,893/1,507,459.50 = 1,507,459.50/x
  3. Step 3: Cross multiply
    970,893x = 1,507,459.50 × 1,507,459.50
  4. Step 4: Simplify right side
    970,893x = 2,272,434,144,140.25
  5. Step 5: Solve for x
    x = 2,272,434,144,140.25/970,893
  6. Step 6: Final answer
    x = 2,340,560.85

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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.