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Finding the Third Proportional to 973,946 and 1,497,855

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Solution

The third proportional to 973,946 and 1,497,855 is: 2,303,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,946 : 1,497,855 = 1,497,855 : x
  2. Step 2: Convert to fraction form
    973,946/1,497,855 = 1,497,855/x
  3. Step 3: Cross multiply
    973,946x = 1,497,855 × 1,497,855
  4. Step 4: Simplify right side
    973,946x = 2,243,569,601,025
  5. Step 5: Solve for x
    x = 2,243,569,601,025/973,946
  6. Step 6: Final answer
    x = 2,303,587.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.