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Finding the Third Proportional to 723,820 and 1,064,678

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Solution

The third proportional to 723,820 and 1,064,678 is: 1,566,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,820 : 1,064,678 = 1,064,678 : x
  2. Step 2: Convert to fraction form
    723,820/1,064,678 = 1,064,678/x
  3. Step 3: Cross multiply
    723,820x = 1,064,678 × 1,064,678
  4. Step 4: Simplify right side
    723,820x = 1,133,539,243,684
  5. Step 5: Solve for x
    x = 1,133,539,243,684/723,820
  6. Step 6: Final answer
    x = 1,566,051.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.