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Finding the Third Proportional to 654,973 and 1,041,507

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Solution

The third proportional to 654,973 and 1,041,507 is: 1,656,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,973 : 1,041,507 = 1,041,507 : x
  2. Step 2: Convert to fraction form
    654,973/1,041,507 = 1,041,507/x
  3. Step 3: Cross multiply
    654,973x = 1,041,507 × 1,041,507
  4. Step 4: Simplify right side
    654,973x = 1,084,736,831,049
  5. Step 5: Solve for x
    x = 1,084,736,831,049/654,973
  6. Step 6: Final answer
    x = 1,656,155.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.