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Finding the Third Proportional to 873,584 and 1,316,532

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Solution

The third proportional to 873,584 and 1,316,532 is: 1,984,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,584 : 1,316,532 = 1,316,532 : x
  2. Step 2: Convert to fraction form
    873,584/1,316,532 = 1,316,532/x
  3. Step 3: Cross multiply
    873,584x = 1,316,532 × 1,316,532
  4. Step 4: Simplify right side
    873,584x = 1,733,256,507,024
  5. Step 5: Solve for x
    x = 1,733,256,507,024/873,584
  6. Step 6: Final answer
    x = 1,984,075.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.