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Finding the Third Proportional to 723,699 and 1,064,498

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Solution

The third proportional to 723,699 and 1,064,498 is: 1,565,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,699 : 1,064,498 = 1,064,498 : x
  2. Step 2: Convert to fraction form
    723,699/1,064,498 = 1,064,498/x
  3. Step 3: Cross multiply
    723,699x = 1,064,498 × 1,064,498
  4. Step 4: Simplify right side
    723,699x = 1,133,155,992,004
  5. Step 5: Solve for x
    x = 1,133,155,992,004/723,699
  6. Step 6: Final answer
    x = 1,565,783.55

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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.