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Finding the Third Proportional to 626,588 and 913,095

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Solution

The third proportional to 626,588 and 913,095 is: 1,330,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,588 : 913,095 = 913,095 : x
  2. Step 2: Convert to fraction form
    626,588/913,095 = 913,095/x
  3. Step 3: Cross multiply
    626,588x = 913,095 × 913,095
  4. Step 4: Simplify right side
    626,588x = 833,742,479,025
  5. Step 5: Solve for x
    x = 833,742,479,025/626,588
  6. Step 6: Final answer
    x = 1,330,607.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.