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Finding the Third Proportional to 570,316 and 1,249,496

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Solution

The third proportional to 570,316 and 1,249,496 is: 2,737,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,316 : 1,249,496 = 1,249,496 : x
  2. Step 2: Convert to fraction form
    570,316/1,249,496 = 1,249,496/x
  3. Step 3: Cross multiply
    570,316x = 1,249,496 × 1,249,496
  4. Step 4: Simplify right side
    570,316x = 1,561,240,254,016
  5. Step 5: Solve for x
    x = 1,561,240,254,016/570,316
  6. Step 6: Final answer
    x = 2,737,500.36

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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.