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Finding the Third Proportional to 973,323 and 1,301,967

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Solution

The third proportional to 973,323 and 1,301,967 is: 1,741,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,323 : 1,301,967 = 1,301,967 : x
  2. Step 2: Convert to fraction form
    973,323/1,301,967 = 1,301,967/x
  3. Step 3: Cross multiply
    973,323x = 1,301,967 × 1,301,967
  4. Step 4: Simplify right side
    973,323x = 1,695,118,069,089
  5. Step 5: Solve for x
    x = 1,695,118,069,089/973,323
  6. Step 6: Final answer
    x = 1,741,578.15

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.