Finding the Third Proportional to 473,496 and 1,014,384
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Solution
The third proportional to 473,496 and 1,014,384 is: 2,173,143.81
Step by Step Solution
- Step 1: Write the proportion equation
473,496 : 1,014,384 = 1,014,384 : x - Step 2: Convert to fraction form
473,496/1,014,384 = 1,014,384/x - Step 3: Cross multiply
473,496x = 1,014,384 × 1,014,384 - Step 4: Simplify right side
473,496x = 1,028,974,899,456 - Step 5: Solve for x
x = 1,028,974,899,456/473,496 - Step 6: Final answer
x = 2,173,143.81
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.