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Finding the Third Proportional to 772,140 and 1,173,953

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Solution

The third proportional to 772,140 and 1,173,953 is: 1,784,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,140 : 1,173,953 = 1,173,953 : x
  2. Step 2: Convert to fraction form
    772,140/1,173,953 = 1,173,953/x
  3. Step 3: Cross multiply
    772,140x = 1,173,953 × 1,173,953
  4. Step 4: Simplify right side
    772,140x = 1,378,165,646,209
  5. Step 5: Solve for x
    x = 1,378,165,646,209/772,140
  6. Step 6: Final answer
    x = 1,784,864.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.