Finding the Third Proportional to 462,942 and 1,014,516
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Solution
The third proportional to 462,942 and 1,014,516 is: 2,223,264.93
Step by Step Solution
- Step 1: Write the proportion equation
462,942 : 1,014,516 = 1,014,516 : x - Step 2: Convert to fraction form
462,942/1,014,516 = 1,014,516/x - Step 3: Cross multiply
462,942x = 1,014,516 × 1,014,516 - Step 4: Simplify right side
462,942x = 1,029,242,714,256 - Step 5: Solve for x
x = 1,029,242,714,256/462,942 - Step 6: Final answer
x = 2,223,264.93
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.