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Finding the Third Proportional to 1,001,394 and 1,537,083

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Solution

The third proportional to 1,001,394 and 1,537,083 is: 2,359,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,394 : 1,537,083 = 1,537,083 : x
  2. Step 2: Convert to fraction form
    1,001,394/1,537,083 = 1,537,083/x
  3. Step 3: Cross multiply
    1,001,394x = 1,537,083 × 1,537,083
  4. Step 4: Simplify right side
    1,001,394x = 2,362,624,148,889
  5. Step 5: Solve for x
    x = 2,362,624,148,889/1,001,394
  6. Step 6: Final answer
    x = 2,359,335.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.