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Finding the Third Proportional to 574,643 and 909,473

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Solution

The third proportional to 574,643 and 909,473 is: 1,439,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,643 : 909,473 = 909,473 : x
  2. Step 2: Convert to fraction form
    574,643/909,473 = 909,473/x
  3. Step 3: Cross multiply
    574,643x = 909,473 × 909,473
  4. Step 4: Simplify right side
    574,643x = 827,141,137,729
  5. Step 5: Solve for x
    x = 827,141,137,729/574,643
  6. Step 6: Final answer
    x = 1,439,400.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.