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Finding the Third Proportional to 628,574 and 973,095

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Solution

The third proportional to 628,574 and 973,095 is: 1,506,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,574 : 973,095 = 973,095 : x
  2. Step 2: Convert to fraction form
    628,574/973,095 = 973,095/x
  3. Step 3: Cross multiply
    628,574x = 973,095 × 973,095
  4. Step 4: Simplify right side
    628,574x = 946,913,879,025
  5. Step 5: Solve for x
    x = 946,913,879,025/628,574
  6. Step 6: Final answer
    x = 1,506,447.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.