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Finding the Third Proportional to 572,075 and 1,254,046

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Solution

The third proportional to 572,075 and 1,254,046 is: 2,748,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,075 : 1,254,046 = 1,254,046 : x
  2. Step 2: Convert to fraction form
    572,075/1,254,046 = 1,254,046/x
  3. Step 3: Cross multiply
    572,075x = 1,254,046 × 1,254,046
  4. Step 4: Simplify right side
    572,075x = 1,572,631,370,116
  5. Step 5: Solve for x
    x = 1,572,631,370,116/572,075
  6. Step 6: Final answer
    x = 2,748,995.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.