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Finding the Third Proportional to 1,506,083.63 and 2,294,459.16

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Solution

The third proportional to 1,506,083.63 and 2,294,459.16 is: 3,495,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,083.63 : 2,294,459.16 = 2,294,459.16 : x
  2. Step 2: Convert to fraction form
    1,506,083.63/2,294,459.16 = 2,294,459.16/x
  3. Step 3: Cross multiply
    1,506,083.63x = 2,294,459.16 × 2,294,459.16
  4. Step 4: Simplify right side
    1,506,083.63x = 5,264,542,819,699.46
  5. Step 5: Solve for x
    x = 5,264,542,819,699.46/1,506,083.63
  6. Step 6: Final answer
    x = 3,495,518.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.