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Finding the Third Proportional to 973,973 and 1,497,898

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Solution

The third proportional to 973,973 and 1,497,898 is: 2,303,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,973 : 1,497,898 = 1,497,898 : x
  2. Step 2: Convert to fraction form
    973,973/1,497,898 = 1,497,898/x
  3. Step 3: Cross multiply
    973,973x = 1,497,898 × 1,497,898
  4. Step 4: Simplify right side
    973,973x = 2,243,698,418,404
  5. Step 5: Solve for x
    x = 2,243,698,418,404/973,973
  6. Step 6: Final answer
    x = 2,303,655.66

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