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Finding the Third Proportional to 687,026 and 1,010,008

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Solution

The third proportional to 687,026 and 1,010,008 is: 1,484,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,026 : 1,010,008 = 1,010,008 : x
  2. Step 2: Convert to fraction form
    687,026/1,010,008 = 1,010,008/x
  3. Step 3: Cross multiply
    687,026x = 1,010,008 × 1,010,008
  4. Step 4: Simplify right side
    687,026x = 1,020,116,160,064
  5. Step 5: Solve for x
    x = 1,020,116,160,064/687,026
  6. Step 6: Final answer
    x = 1,484,829.05

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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.