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Finding the Third Proportional to 575,914 and 793,886

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Solution

The third proportional to 575,914 and 793,886 is: 1,094,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,914 : 793,886 = 793,886 : x
  2. Step 2: Convert to fraction form
    575,914/793,886 = 793,886/x
  3. Step 3: Cross multiply
    575,914x = 793,886 × 793,886
  4. Step 4: Simplify right side
    575,914x = 630,254,980,996
  5. Step 5: Solve for x
    x = 630,254,980,996/575,914
  6. Step 6: Final answer
    x = 1,094,356.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.